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Finding the Third Proportional to 40,864.50 and 63,301.50

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Solution

The third proportional to 40,864.50 and 63,301.50 is: 98,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,864.50 : 63,301.50 = 63,301.50 : x
  2. Step 2: Convert to fraction form
    40,864.50/63,301.50 = 63,301.50/x
  3. Step 3: Cross multiply
    40,864.50x = 63,301.50 × 63,301.50
  4. Step 4: Simplify right side
    40,864.50x = 4,007,079,902.25
  5. Step 5: Solve for x
    x = 4,007,079,902.25/40,864.50
  6. Step 6: Final answer
    x = 98,057.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.