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Finding the Third Proportional to 24,399 and 53,274

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Solution

The third proportional to 24,399 and 53,274 is: 116,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,399 : 53,274 = 53,274 : x
  2. Step 2: Convert to fraction form
    24,399/53,274 = 53,274/x
  3. Step 3: Cross multiply
    24,399x = 53,274 × 53,274
  4. Step 4: Simplify right side
    24,399x = 2,838,119,076
  5. Step 5: Solve for x
    x = 2,838,119,076/24,399
  6. Step 6: Final answer
    x = 116,321.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.