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Finding the Third Proportional to 10,776.38 and 15,744.38

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Solution

The third proportional to 10,776.38 and 15,744.38 is: 23,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.38 : 15,744.38 = 15,744.38 : x
  2. Step 2: Convert to fraction form
    10,776.38/15,744.38 = 15,744.38/x
  3. Step 3: Cross multiply
    10,776.38x = 15,744.38 × 15,744.38
  4. Step 4: Simplify right side
    10,776.38x = 247,885,344.14
  5. Step 5: Solve for x
    x = 247,885,344.14/10,776.38
  6. Step 6: Final answer
    x = 23,002.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.