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Finding the Third Proportional to 43,643 and 63,760

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Solution

The third proportional to 43,643 and 63,760 is: 93,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,643 : 63,760 = 63,760 : x
  2. Step 2: Convert to fraction form
    43,643/63,760 = 63,760/x
  3. Step 3: Cross multiply
    43,643x = 63,760 × 63,760
  4. Step 4: Simplify right side
    43,643x = 4,065,337,600
  5. Step 5: Solve for x
    x = 4,065,337,600/43,643
  6. Step 6: Final answer
    x = 93,149.82

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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.