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Finding the Third Proportional to 924.28 and 2,002.41

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Solution

The third proportional to 924.28 and 2,002.41 is: 4,338.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.28 : 2,002.41 = 2,002.41 : x
  2. Step 2: Convert to fraction form
    924.28/2,002.41 = 2,002.41/x
  3. Step 3: Cross multiply
    924.28x = 2,002.41 × 2,002.41
  4. Step 4: Simplify right side
    924.28x = 4,009,630.79
  5. Step 5: Solve for x
    x = 4,009,630.79/924.28
  6. Step 6: Final answer
    x = 4,338.11

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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.