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Finding the Third Proportional to 24,721.88 and 51,195.38

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Solution

The third proportional to 24,721.88 and 51,195.38 is: 106,018.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,721.88 : 51,195.38 = 51,195.38 : x
  2. Step 2: Convert to fraction form
    24,721.88/51,195.38 = 51,195.38/x
  3. Step 3: Cross multiply
    24,721.88x = 51,195.38 × 51,195.38
  4. Step 4: Simplify right side
    24,721.88x = 2,620,966,421.39
  5. Step 5: Solve for x
    x = 2,620,966,421.39/24,721.88
  6. Step 6: Final answer
    x = 106,018.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.