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Finding the Third Proportional to 27,569 and 59,805.75

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Solution

The third proportional to 27,569 and 59,805.75 is: 129,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,569 : 59,805.75 = 59,805.75 : x
  2. Step 2: Convert to fraction form
    27,569/59,805.75 = 59,805.75/x
  3. Step 3: Cross multiply
    27,569x = 59,805.75 × 59,805.75
  4. Step 4: Simplify right side
    27,569x = 3,576,727,733.06
  5. Step 5: Solve for x
    x = 3,576,727,733.06/27,569
  6. Step 6: Final answer
    x = 129,737.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.