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Finding the Third Proportional to 13,776 and 22,184

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Solution

The third proportional to 13,776 and 22,184 is: 35,723.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776 : 22,184 = 22,184 : x
  2. Step 2: Convert to fraction form
    13,776/22,184 = 22,184/x
  3. Step 3: Cross multiply
    13,776x = 22,184 × 22,184
  4. Step 4: Simplify right side
    13,776x = 492,129,856
  5. Step 5: Solve for x
    x = 492,129,856/13,776
  6. Step 6: Final answer
    x = 35,723.71

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.