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Finding the Third Proportional to 6,814.13 and 11,215.13

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Solution

The third proportional to 6,814.13 and 11,215.13 is: 18,458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.13 : 11,215.13 = 11,215.13 : x
  2. Step 2: Convert to fraction form
    6,814.13/11,215.13 = 11,215.13/x
  3. Step 3: Cross multiply
    6,814.13x = 11,215.13 × 11,215.13
  4. Step 4: Simplify right side
    6,814.13x = 125,779,028.77
  5. Step 5: Solve for x
    x = 125,779,028.77/6,814.13
  6. Step 6: Final answer
    x = 18,458.57

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.