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Finding the Third Proportional to 6,774.66 and 10,426.13

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Solution

The third proportional to 6,774.66 and 10,426.13 is: 16,045.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.66 : 10,426.13 = 10,426.13 : x
  2. Step 2: Convert to fraction form
    6,774.66/10,426.13 = 10,426.13/x
  3. Step 3: Cross multiply
    6,774.66x = 10,426.13 × 10,426.13
  4. Step 4: Simplify right side
    6,774.66x = 108,704,082.52
  5. Step 5: Solve for x
    x = 108,704,082.52/6,774.66
  6. Step 6: Final answer
    x = 16,045.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.