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Finding the Third Proportional to 27,595.69 and 41,284.69

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Solution

The third proportional to 27,595.69 and 41,284.69 is: 61,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,595.69 : 41,284.69 = 41,284.69 : x
  2. Step 2: Convert to fraction form
    27,595.69/41,284.69 = 41,284.69/x
  3. Step 3: Cross multiply
    27,595.69x = 41,284.69 × 41,284.69
  4. Step 4: Simplify right side
    27,595.69x = 1,704,425,421.97
  5. Step 5: Solve for x
    x = 1,704,425,421.97/27,595.69
  6. Step 6: Final answer
    x = 61,764.19

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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.