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Finding the Third Proportional to 24,224 and 51,382

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Solution

The third proportional to 24,224 and 51,382 is: 108,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,224 : 51,382 = 51,382 : x
  2. Step 2: Convert to fraction form
    24,224/51,382 = 51,382/x
  3. Step 3: Cross multiply
    24,224x = 51,382 × 51,382
  4. Step 4: Simplify right side
    24,224x = 2,640,109,924
  5. Step 5: Solve for x
    x = 2,640,109,924/24,224
  6. Step 6: Final answer
    x = 108,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.