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Finding the Third Proportional to 897.38 and 1,948.69

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Solution

The third proportional to 897.38 and 1,948.69 is: 4,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.38 : 1,948.69 = 1,948.69 : x
  2. Step 2: Convert to fraction form
    897.38/1,948.69 = 1,948.69/x
  3. Step 3: Cross multiply
    897.38x = 1,948.69 × 1,948.69
  4. Step 4: Simplify right side
    897.38x = 3,797,382.97
  5. Step 5: Solve for x
    x = 3,797,382.97/897.38
  6. Step 6: Final answer
    x = 4,231.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.