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Finding the Third Proportional to 24,842 and 36,471

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Solution

The third proportional to 24,842 and 36,471 is: 53,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842 : 36,471 = 36,471 : x
  2. Step 2: Convert to fraction form
    24,842/36,471 = 36,471/x
  3. Step 3: Cross multiply
    24,842x = 36,471 × 36,471
  4. Step 4: Simplify right side
    24,842x = 1,330,133,841
  5. Step 5: Solve for x
    x = 1,330,133,841/24,842
  6. Step 6: Final answer
    x = 53,543.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.