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Finding the Third Proportional to 13,882.13 and 22,356.38

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Solution

The third proportional to 13,882.13 and 22,356.38 is: 36,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.13 : 22,356.38 = 22,356.38 : x
  2. Step 2: Convert to fraction form
    13,882.13/22,356.38 = 22,356.38/x
  3. Step 3: Cross multiply
    13,882.13x = 22,356.38 × 22,356.38
  4. Step 4: Simplify right side
    13,882.13x = 499,807,503.14
  5. Step 5: Solve for x
    x = 499,807,503.14/13,882.13
  6. Step 6: Final answer
    x = 36,003.67

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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.