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Finding the Third Proportional to 2,017.69 and 4,330.69

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Solution

The third proportional to 2,017.69 and 4,330.69 is: 9,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.69 : 4,330.69 = 4,330.69 : x
  2. Step 2: Convert to fraction form
    2,017.69/4,330.69 = 4,330.69/x
  3. Step 3: Cross multiply
    2,017.69x = 4,330.69 × 4,330.69
  4. Step 4: Simplify right side
    2,017.69x = 18,754,854.22
  5. Step 5: Solve for x
    x = 18,754,854.22/2,017.69
  6. Step 6: Final answer
    x = 9,295.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.