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Finding the Third Proportional to 40,788 and 63,530

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Solution

The third proportional to 40,788 and 63,530 is: 98,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,788 : 63,530 = 63,530 : x
  2. Step 2: Convert to fraction form
    40,788/63,530 = 63,530/x
  3. Step 3: Cross multiply
    40,788x = 63,530 × 63,530
  4. Step 4: Simplify right side
    40,788x = 4,036,060,900
  5. Step 5: Solve for x
    x = 4,036,060,900/40,788
  6. Step 6: Final answer
    x = 98,952.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.