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Finding the Third Proportional to 19,311.13 and 25,864.69

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Solution

The third proportional to 19,311.13 and 25,864.69 is: 34,642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.13 : 25,864.69 = 25,864.69 : x
  2. Step 2: Convert to fraction form
    19,311.13/25,864.69 = 25,864.69/x
  3. Step 3: Cross multiply
    19,311.13x = 25,864.69 × 25,864.69
  4. Step 4: Simplify right side
    19,311.13x = 668,982,059.47
  5. Step 5: Solve for x
    x = 668,982,059.47/19,311.13
  6. Step 6: Final answer
    x = 34,642.31

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.