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Finding the Third Proportional to 36,680 and 52,464

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Solution

The third proportional to 36,680 and 52,464 is: 75,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,680 : 52,464 = 52,464 : x
  2. Step 2: Convert to fraction form
    36,680/52,464 = 52,464/x
  3. Step 3: Cross multiply
    36,680x = 52,464 × 52,464
  4. Step 4: Simplify right side
    36,680x = 2,752,471,296
  5. Step 5: Solve for x
    x = 2,752,471,296/36,680
  6. Step 6: Final answer
    x = 75,040.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.