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Finding the Third Proportional to 39,597 and 61,987.50

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Solution

The third proportional to 39,597 and 61,987.50 is: 97,038.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,597 : 61,987.50 = 61,987.50 : x
  2. Step 2: Convert to fraction form
    39,597/61,987.50 = 61,987.50/x
  3. Step 3: Cross multiply
    39,597x = 61,987.50 × 61,987.50
  4. Step 4: Simplify right side
    39,597x = 3,842,450,156.25
  5. Step 5: Solve for x
    x = 3,842,450,156.25/39,597
  6. Step 6: Final answer
    x = 97,038.92

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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.