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Finding the Third Proportional to 29,745 and 43,624

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Solution

The third proportional to 29,745 and 43,624 is: 63,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,745 : 43,624 = 43,624 : x
  2. Step 2: Convert to fraction form
    29,745/43,624 = 43,624/x
  3. Step 3: Cross multiply
    29,745x = 43,624 × 43,624
  4. Step 4: Simplify right side
    29,745x = 1,903,053,376
  5. Step 5: Solve for x
    x = 1,903,053,376/29,745
  6. Step 6: Final answer
    x = 63,978.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.