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Finding the Third Proportional to 39,702 and 59,013

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Solution

The third proportional to 39,702 and 59,013 is: 87,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,702 : 59,013 = 59,013 : x
  2. Step 2: Convert to fraction form
    39,702/59,013 = 59,013/x
  3. Step 3: Cross multiply
    39,702x = 59,013 × 59,013
  4. Step 4: Simplify right side
    39,702x = 3,482,534,169
  5. Step 5: Solve for x
    x = 3,482,534,169/39,702
  6. Step 6: Final answer
    x = 87,716.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.