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Finding the Third Proportional to 9,511.17 and 14,266.76

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Solution

The third proportional to 9,511.17 and 14,266.76 is: 21,400.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.17 : 14,266.76 = 14,266.76 : x
  2. Step 2: Convert to fraction form
    9,511.17/14,266.76 = 14,266.76/x
  3. Step 3: Cross multiply
    9,511.17x = 14,266.76 × 14,266.76
  4. Step 4: Simplify right side
    9,511.17x = 203,540,378.48
  5. Step 5: Solve for x
    x = 203,540,378.48/9,511.17
  6. Step 6: Final answer
    x = 21,400.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.