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Finding the Third Proportional to 15,976.41 and 24,712.59

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Solution

The third proportional to 15,976.41 and 24,712.59 is: 38,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,976.41 : 24,712.59 = 24,712.59 : x
  2. Step 2: Convert to fraction form
    15,976.41/24,712.59 = 24,712.59/x
  3. Step 3: Cross multiply
    15,976.41x = 24,712.59 × 24,712.59
  4. Step 4: Simplify right side
    15,976.41x = 610,712,289.85
  5. Step 5: Solve for x
    x = 610,712,289.85/15,976.41
  6. Step 6: Final answer
    x = 38,225.89

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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.