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Finding the Third Proportional to 24,142 and 51,708

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Solution

The third proportional to 24,142 and 51,708 is: 110,749.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,142 : 51,708 = 51,708 : x
  2. Step 2: Convert to fraction form
    24,142/51,708 = 51,708/x
  3. Step 3: Cross multiply
    24,142x = 51,708 × 51,708
  4. Step 4: Simplify right side
    24,142x = 2,673,717,264
  5. Step 5: Solve for x
    x = 2,673,717,264/24,142
  6. Step 6: Final answer
    x = 110,749.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.