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Finding the Third Proportional to 26,853.75 and 59,266.50

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Solution

The third proportional to 26,853.75 and 59,266.50 is: 130,801.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,853.75 : 59,266.50 = 59,266.50 : x
  2. Step 2: Convert to fraction form
    26,853.75/59,266.50 = 59,266.50/x
  3. Step 3: Cross multiply
    26,853.75x = 59,266.50 × 59,266.50
  4. Step 4: Simplify right side
    26,853.75x = 3,512,518,022.25
  5. Step 5: Solve for x
    x = 3,512,518,022.25/26,853.75
  6. Step 6: Final answer
    x = 130,801.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.