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Finding the Third Proportional to 29,980.13 and 38,044.69

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Solution

The third proportional to 29,980.13 and 38,044.69 is: 48,278.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,980.13 : 38,044.69 = 38,044.69 : x
  2. Step 2: Convert to fraction form
    29,980.13/38,044.69 = 38,044.69/x
  3. Step 3: Cross multiply
    29,980.13x = 38,044.69 × 38,044.69
  4. Step 4: Simplify right side
    29,980.13x = 1,447,398,246.97
  5. Step 5: Solve for x
    x = 1,447,398,246.97/29,980.13
  6. Step 6: Final answer
    x = 48,278.59

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.