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Finding the Third Proportional to 39,098 and 64,712.50

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Solution

The third proportional to 39,098 and 64,712.50 is: 107,107.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 64,712.50 = 64,712.50 : x
  2. Step 2: Convert to fraction form
    39,098/64,712.50 = 64,712.50/x
  3. Step 3: Cross multiply
    39,098x = 64,712.50 × 64,712.50
  4. Step 4: Simplify right side
    39,098x = 4,187,707,656.25
  5. Step 5: Solve for x
    x = 4,187,707,656.25/39,098
  6. Step 6: Final answer
    x = 107,107.98

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.