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Finding the Third Proportional to 14,542 and 31,853

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Solution

The third proportional to 14,542 and 31,853 is: 69,771.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542 : 31,853 = 31,853 : x
  2. Step 2: Convert to fraction form
    14,542/31,853 = 31,853/x
  3. Step 3: Cross multiply
    14,542x = 31,853 × 31,853
  4. Step 4: Simplify right side
    14,542x = 1,014,613,609
  5. Step 5: Solve for x
    x = 1,014,613,609/14,542
  6. Step 6: Final answer
    x = 69,771.26

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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.