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Finding the Third Proportional to 1,901.13 and 4,001.38

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Solution

The third proportional to 1,901.13 and 4,001.38 is: 8,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.13 : 4,001.38 = 4,001.38 : x
  2. Step 2: Convert to fraction form
    1,901.13/4,001.38 = 4,001.38/x
  3. Step 3: Cross multiply
    1,901.13x = 4,001.38 × 4,001.38
  4. Step 4: Simplify right side
    1,901.13x = 16,011,001.89
  5. Step 5: Solve for x
    x = 16,011,001.89/1,901.13
  6. Step 6: Final answer
    x = 8,421.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.