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Finding the Third Proportional to 2,197.69 and 4,742.16

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Solution

The third proportional to 2,197.69 and 4,742.16 is: 10,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.69 : 4,742.16 = 4,742.16 : x
  2. Step 2: Convert to fraction form
    2,197.69/4,742.16 = 4,742.16/x
  3. Step 3: Cross multiply
    2,197.69x = 4,742.16 × 4,742.16
  4. Step 4: Simplify right side
    2,197.69x = 22,488,045.90
  5. Step 5: Solve for x
    x = 22,488,045.90/2,197.69
  6. Step 6: Final answer
    x = 10,232.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.