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Finding the Third Proportional to 24,534 and 52,334

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Solution

The third proportional to 24,534 and 52,334 is: 111,634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,534 : 52,334 = 52,334 : x
  2. Step 2: Convert to fraction form
    24,534/52,334 = 52,334/x
  3. Step 3: Cross multiply
    24,534x = 52,334 × 52,334
  4. Step 4: Simplify right side
    24,534x = 2,738,847,556
  5. Step 5: Solve for x
    x = 2,738,847,556/24,534
  6. Step 6: Final answer
    x = 111,634.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.