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Finding the Third Proportional to 7,377.52 and 11,122.14

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Solution

The third proportional to 7,377.52 and 11,122.14 is: 16,767.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.52 : 11,122.14 = 11,122.14 : x
  2. Step 2: Convert to fraction form
    7,377.52/11,122.14 = 11,122.14/x
  3. Step 3: Cross multiply
    7,377.52x = 11,122.14 × 11,122.14
  4. Step 4: Simplify right side
    7,377.52x = 123,702,096.26
  5. Step 5: Solve for x
    x = 123,702,096.26/7,377.52
  6. Step 6: Final answer
    x = 16,767.43

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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.