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Finding the Third Proportional to 7,193.25 and 15,716.25

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Solution

The third proportional to 7,193.25 and 15,716.25 is: 34,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.25 : 15,716.25 = 15,716.25 : x
  2. Step 2: Convert to fraction form
    7,193.25/15,716.25 = 15,716.25/x
  3. Step 3: Cross multiply
    7,193.25x = 15,716.25 × 15,716.25
  4. Step 4: Simplify right side
    7,193.25x = 247,000,514.06
  5. Step 5: Solve for x
    x = 247,000,514.06/7,193.25
  6. Step 6: Final answer
    x = 34,337.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.