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Finding the Third Proportional to 6,337.13 and 7,005.38

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Solution

The third proportional to 6,337.13 and 7,005.38 is: 7,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.13 : 7,005.38 = 7,005.38 : x
  2. Step 2: Convert to fraction form
    6,337.13/7,005.38 = 7,005.38/x
  3. Step 3: Cross multiply
    6,337.13x = 7,005.38 × 7,005.38
  4. Step 4: Simplify right side
    6,337.13x = 49,075,278.89
  5. Step 5: Solve for x
    x = 49,075,278.89/6,337.13
  6. Step 6: Final answer
    x = 7,744.09

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.