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Finding the Third Proportional to 7,182.15 and 11,148.22

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Solution

The third proportional to 7,182.15 and 11,148.22 is: 17,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.15 : 11,148.22 = 11,148.22 : x
  2. Step 2: Convert to fraction form
    7,182.15/11,148.22 = 11,148.22/x
  3. Step 3: Cross multiply
    7,182.15x = 11,148.22 × 11,148.22
  4. Step 4: Simplify right side
    7,182.15x = 124,282,770.41
  5. Step 5: Solve for x
    x = 124,282,770.41/7,182.15
  6. Step 6: Final answer
    x = 17,304.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.