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Finding the Third Proportional to 15,400.13 and 24,046.88

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Solution

The third proportional to 15,400.13 and 24,046.88 is: 37,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,400.13 : 24,046.88 = 24,046.88 : x
  2. Step 2: Convert to fraction form
    15,400.13/24,046.88 = 24,046.88/x
  3. Step 3: Cross multiply
    15,400.13x = 24,046.88 × 24,046.88
  4. Step 4: Simplify right side
    15,400.13x = 578,252,197.27
  5. Step 5: Solve for x
    x = 578,252,197.27/15,400.13
  6. Step 6: Final answer
    x = 37,548.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.