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Finding the Third Proportional to 24,951.75 and 36,460.69

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Solution

The third proportional to 24,951.75 and 36,460.69 is: 53,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,951.75 : 36,460.69 = 36,460.69 : x
  2. Step 2: Convert to fraction form
    24,951.75/36,460.69 = 36,460.69/x
  3. Step 3: Cross multiply
    24,951.75x = 36,460.69 × 36,460.69
  4. Step 4: Simplify right side
    24,951.75x = 1,329,381,732.97
  5. Step 5: Solve for x
    x = 1,329,381,732.97/24,951.75
  6. Step 6: Final answer
    x = 53,278.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.