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Finding the Third Proportional to 29,479 and 45,080

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Solution

The third proportional to 29,479 and 45,080 is: 68,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,479 : 45,080 = 45,080 : x
  2. Step 2: Convert to fraction form
    29,479/45,080 = 45,080/x
  3. Step 3: Cross multiply
    29,479x = 45,080 × 45,080
  4. Step 4: Simplify right side
    29,479x = 2,032,206,400
  5. Step 5: Solve for x
    x = 2,032,206,400/29,479
  6. Step 6: Final answer
    x = 68,937.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.