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Finding the Third Proportional to 27,332.25 and 59,403

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Solution

The third proportional to 27,332.25 and 59,403 is: 129,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,332.25 : 59,403 = 59,403 : x
  2. Step 2: Convert to fraction form
    27,332.25/59,403 = 59,403/x
  3. Step 3: Cross multiply
    27,332.25x = 59,403 × 59,403
  4. Step 4: Simplify right side
    27,332.25x = 3,528,716,409
  5. Step 5: Solve for x
    x = 3,528,716,409/27,332.25
  6. Step 6: Final answer
    x = 129,104.50

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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.