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Finding the Third Proportional to 924 and 2,003.44

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Solution

The third proportional to 924 and 2,003.44 is: 4,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    924 : 2,003.44 = 2,003.44 : x
  2. Step 2: Convert to fraction form
    924/2,003.44 = 2,003.44/x
  3. Step 3: Cross multiply
    924x = 2,003.44 × 2,003.44
  4. Step 4: Simplify right side
    924x = 4,013,761.82
  5. Step 5: Solve for x
    x = 4,013,761.82/924
  6. Step 6: Final answer
    x = 4,343.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.