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Finding the Third Proportional to 7,147.62 and 14,799.27

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Solution

The third proportional to 7,147.62 and 14,799.27 is: 30,642.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.62 : 14,799.27 = 14,799.27 : x
  2. Step 2: Convert to fraction form
    7,147.62/14,799.27 = 14,799.27/x
  3. Step 3: Cross multiply
    7,147.62x = 14,799.27 × 14,799.27
  4. Step 4: Simplify right side
    7,147.62x = 219,018,378.66
  5. Step 5: Solve for x
    x = 219,018,378.66/7,147.62
  6. Step 6: Final answer
    x = 30,642.15

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.