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Finding the Third Proportional to 24,123 and 51,707

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Solution

The third proportional to 24,123 and 51,707 is: 110,832.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,123 : 51,707 = 51,707 : x
  2. Step 2: Convert to fraction form
    24,123/51,707 = 51,707/x
  3. Step 3: Cross multiply
    24,123x = 51,707 × 51,707
  4. Step 4: Simplify right side
    24,123x = 2,673,613,849
  5. Step 5: Solve for x
    x = 2,673,613,849/24,123
  6. Step 6: Final answer
    x = 110,832.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.