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Finding the Third Proportional to 15,928.88 and 24,562.13

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Solution

The third proportional to 15,928.88 and 24,562.13 is: 37,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.88 : 24,562.13 = 24,562.13 : x
  2. Step 2: Convert to fraction form
    15,928.88/24,562.13 = 24,562.13/x
  3. Step 3: Cross multiply
    15,928.88x = 24,562.13 × 24,562.13
  4. Step 4: Simplify right side
    15,928.88x = 603,297,984.52
  5. Step 5: Solve for x
    x = 603,297,984.52/15,928.88
  6. Step 6: Final answer
    x = 37,874.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.