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Finding the Third Proportional to 24,932 and 54,707

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Solution

The third proportional to 24,932 and 54,707 is: 120,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,932 : 54,707 = 54,707 : x
  2. Step 2: Convert to fraction form
    24,932/54,707 = 54,707/x
  3. Step 3: Cross multiply
    24,932x = 54,707 × 54,707
  4. Step 4: Simplify right side
    24,932x = 2,992,855,849
  5. Step 5: Solve for x
    x = 2,992,855,849/24,932
  6. Step 6: Final answer
    x = 120,040.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.