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Finding the Third Proportional to 12,997.13 and 28,468.13

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Solution

The third proportional to 12,997.13 and 28,468.13 is: 62,354.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.13 : 28,468.13 = 28,468.13 : x
  2. Step 2: Convert to fraction form
    12,997.13/28,468.13 = 28,468.13/x
  3. Step 3: Cross multiply
    12,997.13x = 28,468.13 × 28,468.13
  4. Step 4: Simplify right side
    12,997.13x = 810,434,141.02
  5. Step 5: Solve for x
    x = 810,434,141.02/12,997.13
  6. Step 6: Final answer
    x = 62,354.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.