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Finding the Third Proportional to 1,475.09 and 2,001.90

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Solution

The third proportional to 1,475.09 and 2,001.90 is: 2,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.09 : 2,001.90 = 2,001.90 : x
  2. Step 2: Convert to fraction form
    1,475.09/2,001.90 = 2,001.90/x
  3. Step 3: Cross multiply
    1,475.09x = 2,001.90 × 2,001.90
  4. Step 4: Simplify right side
    1,475.09x = 4,007,612.99
  5. Step 5: Solve for x
    x = 4,007,612.99/1,475.09
  6. Step 6: Final answer
    x = 2,716.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.