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Finding the Third Proportional to 2,013.72 and 4,373.38

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Solution

The third proportional to 2,013.72 and 4,373.38 is: 9,498.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.72 : 4,373.38 = 4,373.38 : x
  2. Step 2: Convert to fraction form
    2,013.72/4,373.38 = 4,373.38/x
  3. Step 3: Cross multiply
    2,013.72x = 4,373.38 × 4,373.38
  4. Step 4: Simplify right side
    2,013.72x = 19,126,408.89
  5. Step 5: Solve for x
    x = 19,126,408.89/2,013.72
  6. Step 6: Final answer
    x = 9,498.05

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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.