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Finding the Third Proportional to 40,610 and 62,500

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Solution

The third proportional to 40,610 and 62,500 is: 96,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,610 : 62,500 = 62,500 : x
  2. Step 2: Convert to fraction form
    40,610/62,500 = 62,500/x
  3. Step 3: Cross multiply
    40,610x = 62,500 × 62,500
  4. Step 4: Simplify right side
    40,610x = 3,906,250,000
  5. Step 5: Solve for x
    x = 3,906,250,000/40,610
  6. Step 6: Final answer
    x = 96,189.36

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.