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Finding the Third Proportional to 12,151.13 and 17,376.13

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Solution

The third proportional to 12,151.13 and 17,376.13 is: 24,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.13 : 17,376.13 = 17,376.13 : x
  2. Step 2: Convert to fraction form
    12,151.13/17,376.13 = 17,376.13/x
  3. Step 3: Cross multiply
    12,151.13x = 17,376.13 × 17,376.13
  4. Step 4: Simplify right side
    12,151.13x = 301,929,720.02
  5. Step 5: Solve for x
    x = 301,929,720.02/12,151.13
  6. Step 6: Final answer
    x = 24,847.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.