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Finding the Third Proportional to 40,066.50 and 62,287

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Solution

The third proportional to 40,066.50 and 62,287 is: 96,830.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,066.50 : 62,287 = 62,287 : x
  2. Step 2: Convert to fraction form
    40,066.50/62,287 = 62,287/x
  3. Step 3: Cross multiply
    40,066.50x = 62,287 × 62,287
  4. Step 4: Simplify right side
    40,066.50x = 3,879,670,369
  5. Step 5: Solve for x
    x = 3,879,670,369/40,066.50
  6. Step 6: Final answer
    x = 96,830.78

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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.