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Finding the Third Proportional to 1,691.51 and 2,229.71

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Solution

The third proportional to 1,691.51 and 2,229.71 is: 2,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.51 : 2,229.71 = 2,229.71 : x
  2. Step 2: Convert to fraction form
    1,691.51/2,229.71 = 2,229.71/x
  3. Step 3: Cross multiply
    1,691.51x = 2,229.71 × 2,229.71
  4. Step 4: Simplify right side
    1,691.51x = 4,971,628.28
  5. Step 5: Solve for x
    x = 4,971,628.28/1,691.51
  6. Step 6: Final answer
    x = 2,939.17

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.