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Finding the Third Proportional to 24,271 and 36,629

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Solution

The third proportional to 24,271 and 36,629 is: 55,279.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,271 : 36,629 = 36,629 : x
  2. Step 2: Convert to fraction form
    24,271/36,629 = 36,629/x
  3. Step 3: Cross multiply
    24,271x = 36,629 × 36,629
  4. Step 4: Simplify right side
    24,271x = 1,341,683,641
  5. Step 5: Solve for x
    x = 1,341,683,641/24,271
  6. Step 6: Final answer
    x = 55,279.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.