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Finding the Third Proportional to 27,814 and 41,776

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Solution

The third proportional to 27,814 and 41,776 is: 62,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 41,776 = 41,776 : x
  2. Step 2: Convert to fraction form
    27,814/41,776 = 41,776/x
  3. Step 3: Cross multiply
    27,814x = 41,776 × 41,776
  4. Step 4: Simplify right side
    27,814x = 1,745,234,176
  5. Step 5: Solve for x
    x = 1,745,234,176/27,814
  6. Step 6: Final answer
    x = 62,746.61

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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.