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Finding the Third Proportional to 24,640 and 52,780

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Solution

The third proportional to 24,640 and 52,780 is: 113,057.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,640 : 52,780 = 52,780 : x
  2. Step 2: Convert to fraction form
    24,640/52,780 = 52,780/x
  3. Step 3: Cross multiply
    24,640x = 52,780 × 52,780
  4. Step 4: Simplify right side
    24,640x = 2,785,728,400
  5. Step 5: Solve for x
    x = 2,785,728,400/24,640
  6. Step 6: Final answer
    x = 113,057.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.