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Finding the Third Proportional to 6,715.13 and 11,926.13

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Solution

The third proportional to 6,715.13 and 11,926.13 is: 21,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.13 : 11,926.13 = 11,926.13 : x
  2. Step 2: Convert to fraction form
    6,715.13/11,926.13 = 11,926.13/x
  3. Step 3: Cross multiply
    6,715.13x = 11,926.13 × 11,926.13
  4. Step 4: Simplify right side
    6,715.13x = 142,232,457.52
  5. Step 5: Solve for x
    x = 142,232,457.52/6,715.13
  6. Step 6: Final answer
    x = 21,180.91

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.