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Finding the Third Proportional to 11,215.13 and 12,855.38

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Solution

The third proportional to 11,215.13 and 12,855.38 is: 14,735.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,215.13 : 12,855.38 = 12,855.38 : x
  2. Step 2: Convert to fraction form
    11,215.13/12,855.38 = 12,855.38/x
  3. Step 3: Cross multiply
    11,215.13x = 12,855.38 × 12,855.38
  4. Step 4: Simplify right side
    11,215.13x = 165,260,666.39
  5. Step 5: Solve for x
    x = 165,260,666.39/11,215.13
  6. Step 6: Final answer
    x = 14,735.52

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.