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Finding the Third Proportional to 15,042 and 22,759

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Solution

The third proportional to 15,042 and 22,759 is: 34,435.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,042 : 22,759 = 22,759 : x
  2. Step 2: Convert to fraction form
    15,042/22,759 = 22,759/x
  3. Step 3: Cross multiply
    15,042x = 22,759 × 22,759
  4. Step 4: Simplify right side
    15,042x = 517,972,081
  5. Step 5: Solve for x
    x = 517,972,081/15,042
  6. Step 6: Final answer
    x = 34,435.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.