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Finding the Third Proportional to 43,641 and 63,757

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Solution

The third proportional to 43,641 and 63,757 is: 93,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,641 : 63,757 = 63,757 : x
  2. Step 2: Convert to fraction form
    43,641/63,757 = 63,757/x
  3. Step 3: Cross multiply
    43,641x = 63,757 × 63,757
  4. Step 4: Simplify right side
    43,641x = 4,064,955,049
  5. Step 5: Solve for x
    x = 4,064,955,049/43,641
  6. Step 6: Final answer
    x = 93,145.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.