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Finding the Third Proportional to 10,074 and 11,478

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Solution

The third proportional to 10,074 and 11,478 is: 13,077.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,074 : 11,478 = 11,478 : x
  2. Step 2: Convert to fraction form
    10,074/11,478 = 11,478/x
  3. Step 3: Cross multiply
    10,074x = 11,478 × 11,478
  4. Step 4: Simplify right side
    10,074x = 131,744,484
  5. Step 5: Solve for x
    x = 131,744,484/10,074
  6. Step 6: Final answer
    x = 13,077.67

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.