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Finding the Third Proportional to 27,226.13 and 32,086.13

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Solution

The third proportional to 27,226.13 and 32,086.13 is: 37,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.13 : 32,086.13 = 32,086.13 : x
  2. Step 2: Convert to fraction form
    27,226.13/32,086.13 = 32,086.13/x
  3. Step 3: Cross multiply
    27,226.13x = 32,086.13 × 32,086.13
  4. Step 4: Simplify right side
    27,226.13x = 1,029,519,417.52
  5. Step 5: Solve for x
    x = 1,029,519,417.52/27,226.13
  6. Step 6: Final answer
    x = 37,813.66

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.