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Finding the Third Proportional to 40,451 and 63,317

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Solution

The third proportional to 40,451 and 63,317 is: 99,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,451 : 63,317 = 63,317 : x
  2. Step 2: Convert to fraction form
    40,451/63,317 = 63,317/x
  3. Step 3: Cross multiply
    40,451x = 63,317 × 63,317
  4. Step 4: Simplify right side
    40,451x = 4,009,042,489
  5. Step 5: Solve for x
    x = 4,009,042,489/40,451
  6. Step 6: Final answer
    x = 99,108.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.