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Finding the Third Proportional to 9,320.17 and 14,115.94

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Solution

The third proportional to 9,320.17 and 14,115.94 is: 21,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,320.17 : 14,115.94 = 14,115.94 : x
  2. Step 2: Convert to fraction form
    9,320.17/14,115.94 = 14,115.94/x
  3. Step 3: Cross multiply
    9,320.17x = 14,115.94 × 14,115.94
  4. Step 4: Simplify right side
    9,320.17x = 199,259,691.50
  5. Step 5: Solve for x
    x = 199,259,691.50/9,320.17
  6. Step 6: Final answer
    x = 21,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.