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Finding the Third Proportional to 24,409 and 53,294

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Solution

The third proportional to 24,409 and 53,294 is: 116,360.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409 : 53,294 = 53,294 : x
  2. Step 2: Convert to fraction form
    24,409/53,294 = 53,294/x
  3. Step 3: Cross multiply
    24,409x = 53,294 × 53,294
  4. Step 4: Simplify right side
    24,409x = 2,840,250,436
  5. Step 5: Solve for x
    x = 2,840,250,436/24,409
  6. Step 6: Final answer
    x = 116,360.79

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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.