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Finding the Third Proportional to 26,805 and 59,121.75

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Solution

The third proportional to 26,805 and 59,121.75 is: 130,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,805 : 59,121.75 = 59,121.75 : x
  2. Step 2: Convert to fraction form
    26,805/59,121.75 = 59,121.75/x
  3. Step 3: Cross multiply
    26,805x = 59,121.75 × 59,121.75
  4. Step 4: Simplify right side
    26,805x = 3,495,381,323.06
  5. Step 5: Solve for x
    x = 3,495,381,323.06/26,805
  6. Step 6: Final answer
    x = 130,400.35

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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.