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Finding the Third Proportional to 17,411.63 and 47,449.13

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Solution

The third proportional to 17,411.63 and 47,449.13 is: 129,305.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,411.63 : 47,449.13 = 47,449.13 : x
  2. Step 2: Convert to fraction form
    17,411.63/47,449.13 = 47,449.13/x
  3. Step 3: Cross multiply
    17,411.63x = 47,449.13 × 47,449.13
  4. Step 4: Simplify right side
    17,411.63x = 2,251,419,463.27
  5. Step 5: Solve for x
    x = 2,251,419,463.27/17,411.63
  6. Step 6: Final answer
    x = 129,305.53

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Why These Related Problems?

These problems maintain the same ratio (2.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.