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Finding the Third Proportional to 24,132 and 31,806

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Solution

The third proportional to 24,132 and 31,806 is: 41,920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,132 : 31,806 = 31,806 : x
  2. Step 2: Convert to fraction form
    24,132/31,806 = 31,806/x
  3. Step 3: Cross multiply
    24,132x = 31,806 × 31,806
  4. Step 4: Simplify right side
    24,132x = 1,011,621,636
  5. Step 5: Solve for x
    x = 1,011,621,636/24,132
  6. Step 6: Final answer
    x = 41,920.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.