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Finding the Third Proportional to 2,104.10 and 2,732.17

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Solution

The third proportional to 2,104.10 and 2,732.17 is: 3,547.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.10 : 2,732.17 = 2,732.17 : x
  2. Step 2: Convert to fraction form
    2,104.10/2,732.17 = 2,732.17/x
  3. Step 3: Cross multiply
    2,104.10x = 2,732.17 × 2,732.17
  4. Step 4: Simplify right side
    2,104.10x = 7,464,741.81
  5. Step 5: Solve for x
    x = 7,464,741.81/2,104.10
  6. Step 6: Final answer
    x = 3,547.71

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.