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Finding the Third Proportional to 10,491.19 and 16,266.66

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Solution

The third proportional to 10,491.19 and 16,266.66 is: 25,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.19 : 16,266.66 = 16,266.66 : x
  2. Step 2: Convert to fraction form
    10,491.19/16,266.66 = 16,266.66/x
  3. Step 3: Cross multiply
    10,491.19x = 16,266.66 × 16,266.66
  4. Step 4: Simplify right side
    10,491.19x = 264,604,105.56
  5. Step 5: Solve for x
    x = 264,604,105.56/10,491.19
  6. Step 6: Final answer
    x = 25,221.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.