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Finding the Third Proportional to 39,599 and 61,991

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Solution

The third proportional to 39,599 and 61,991 is: 97,044.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,599 : 61,991 = 61,991 : x
  2. Step 2: Convert to fraction form
    39,599/61,991 = 61,991/x
  3. Step 3: Cross multiply
    39,599x = 61,991 × 61,991
  4. Step 4: Simplify right side
    39,599x = 3,842,884,081
  5. Step 5: Solve for x
    x = 3,842,884,081/39,599
  6. Step 6: Final answer
    x = 97,044.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.