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Finding the Third Proportional to 26,853.75 and 58,628.25

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Solution

The third proportional to 26,853.75 and 58,628.25 is: 127,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,853.75 : 58,628.25 = 58,628.25 : x
  2. Step 2: Convert to fraction form
    26,853.75/58,628.25 = 58,628.25/x
  3. Step 3: Cross multiply
    26,853.75x = 58,628.25 × 58,628.25
  4. Step 4: Simplify right side
    26,853.75x = 3,437,271,698.06
  5. Step 5: Solve for x
    x = 3,437,271,698.06/26,853.75
  6. Step 6: Final answer
    x = 127,999.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.