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Finding the Third Proportional to 24,472 and 52,834

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Solution

The third proportional to 24,472 and 52,834 is: 114,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472 : 52,834 = 52,834 : x
  2. Step 2: Convert to fraction form
    24,472/52,834 = 52,834/x
  3. Step 3: Cross multiply
    24,472x = 52,834 × 52,834
  4. Step 4: Simplify right side
    24,472x = 2,791,431,556
  5. Step 5: Solve for x
    x = 2,791,431,556/24,472
  6. Step 6: Final answer
    x = 114,066.34

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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.