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Finding the Third Proportional to 23,042 and 53,957

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Solution

The third proportional to 23,042 and 53,957 is: 126,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,042 : 53,957 = 53,957 : x
  2. Step 2: Convert to fraction form
    23,042/53,957 = 53,957/x
  3. Step 3: Cross multiply
    23,042x = 53,957 × 53,957
  4. Step 4: Simplify right side
    23,042x = 2,911,357,849
  5. Step 5: Solve for x
    x = 2,911,357,849/23,042
  6. Step 6: Final answer
    x = 126,350.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.