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Finding the Third Proportional to 24,273.84 and 51,521.06

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Solution

The third proportional to 24,273.84 and 51,521.06 is: 109,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,273.84 : 51,521.06 = 51,521.06 : x
  2. Step 2: Convert to fraction form
    24,273.84/51,521.06 = 51,521.06/x
  3. Step 3: Cross multiply
    24,273.84x = 51,521.06 × 51,521.06
  4. Step 4: Simplify right side
    24,273.84x = 2,654,419,881.13
  5. Step 5: Solve for x
    x = 2,654,419,881.13/24,273.84
  6. Step 6: Final answer
    x = 109,353.09

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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.