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Finding the Third Proportional to 24,712 and 53,311

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Solution

The third proportional to 24,712 and 53,311 is: 115,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,712 : 53,311 = 53,311 : x
  2. Step 2: Convert to fraction form
    24,712/53,311 = 53,311/x
  3. Step 3: Cross multiply
    24,712x = 53,311 × 53,311
  4. Step 4: Simplify right side
    24,712x = 2,842,062,721
  5. Step 5: Solve for x
    x = 2,842,062,721/24,712
  6. Step 6: Final answer
    x = 115,007.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.