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Finding the Third Proportional to 39,272 and 59,480

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Solution

The third proportional to 39,272 and 59,480 is: 90,086.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,272 : 59,480 = 59,480 : x
  2. Step 2: Convert to fraction form
    39,272/59,480 = 59,480/x
  3. Step 3: Cross multiply
    39,272x = 59,480 × 59,480
  4. Step 4: Simplify right side
    39,272x = 3,537,870,400
  5. Step 5: Solve for x
    x = 3,537,870,400/39,272
  6. Step 6: Final answer
    x = 90,086.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.