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Finding the Third Proportional to 999.53 and 2,229.71

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Solution

The third proportional to 999.53 and 2,229.71 is: 4,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.53 : 2,229.71 = 2,229.71 : x
  2. Step 2: Convert to fraction form
    999.53/2,229.71 = 2,229.71/x
  3. Step 3: Cross multiply
    999.53x = 2,229.71 × 2,229.71
  4. Step 4: Simplify right side
    999.53x = 4,971,628.28
  5. Step 5: Solve for x
    x = 4,971,628.28/999.53
  6. Step 6: Final answer
    x = 4,973.98

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.