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Finding the Third Proportional to 27,514.69 and 41,206.22

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Solution

The third proportional to 27,514.69 and 41,206.22 is: 61,710.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,514.69 : 41,206.22 = 41,206.22 : x
  2. Step 2: Convert to fraction form
    27,514.69/41,206.22 = 41,206.22/x
  3. Step 3: Cross multiply
    27,514.69x = 41,206.22 × 41,206.22
  4. Step 4: Simplify right side
    27,514.69x = 1,697,952,463.67
  5. Step 5: Solve for x
    x = 1,697,952,463.67/27,514.69
  6. Step 6: Final answer
    x = 61,710.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.