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Finding the Third Proportional to 2,926.13 and 6,546.38

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Solution

The third proportional to 2,926.13 and 6,546.38 is: 14,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,926.13 : 6,546.38 = 6,546.38 : x
  2. Step 2: Convert to fraction form
    2,926.13/6,546.38 = 6,546.38/x
  3. Step 3: Cross multiply
    2,926.13x = 6,546.38 × 6,546.38
  4. Step 4: Simplify right side
    2,926.13x = 42,855,025.64
  5. Step 5: Solve for x
    x = 42,855,025.64/2,926.13
  6. Step 6: Final answer
    x = 14,645.66

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.