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Finding the Third Proportional to 10,778.70 and 16,101.67

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Solution

The third proportional to 10,778.70 and 16,101.67 is: 24,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.70 : 16,101.67 = 16,101.67 : x
  2. Step 2: Convert to fraction form
    10,778.70/16,101.67 = 16,101.67/x
  3. Step 3: Cross multiply
    10,778.70x = 16,101.67 × 16,101.67
  4. Step 4: Simplify right side
    10,778.70x = 259,263,711.38
  5. Step 5: Solve for x
    x = 259,263,711.38/10,778.70
  6. Step 6: Final answer
    x = 24,053.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.