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Finding the Third Proportional to 24,640 and 36,922

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Solution

The third proportional to 24,640 and 36,922 is: 55,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640 : 36,922 = 36,922 : x
  2. Step 2: Convert to fraction form
    24,640/36,922 = 36,922/x
  3. Step 3: Cross multiply
    24,640x = 36,922 × 36,922
  4. Step 4: Simplify right side
    24,640x = 1,363,234,084
  5. Step 5: Solve for x
    x = 1,363,234,084/24,640
  6. Step 6: Final answer
    x = 55,326.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.