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Finding the Third Proportional to 15,649.88 and 24,235.88

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Solution

The third proportional to 15,649.88 and 24,235.88 is: 37,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,649.88 : 24,235.88 = 24,235.88 : x
  2. Step 2: Convert to fraction form
    15,649.88/24,235.88 = 24,235.88/x
  3. Step 3: Cross multiply
    15,649.88x = 24,235.88 × 24,235.88
  4. Step 4: Simplify right side
    15,649.88x = 587,377,637.02
  5. Step 5: Solve for x
    x = 587,377,637.02/15,649.88
  6. Step 6: Final answer
    x = 37,532.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.