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Finding the Third Proportional to 24,174 and 53,118

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Solution

The third proportional to 24,174 and 53,118 is: 116,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,174 : 53,118 = 53,118 : x
  2. Step 2: Convert to fraction form
    24,174/53,118 = 53,118/x
  3. Step 3: Cross multiply
    24,174x = 53,118 × 53,118
  4. Step 4: Simplify right side
    24,174x = 2,821,521,924
  5. Step 5: Solve for x
    x = 2,821,521,924/24,174
  6. Step 6: Final answer
    x = 116,717.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.