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Finding the Third Proportional to 1,171.34 and 2,506.57

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Solution

The third proportional to 1,171.34 and 2,506.57 is: 5,363.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.34 : 2,506.57 = 2,506.57 : x
  2. Step 2: Convert to fraction form
    1,171.34/2,506.57 = 2,506.57/x
  3. Step 3: Cross multiply
    1,171.34x = 2,506.57 × 2,506.57
  4. Step 4: Simplify right side
    1,171.34x = 6,282,894.73
  5. Step 5: Solve for x
    x = 6,282,894.73/1,171.34
  6. Step 6: Final answer
    x = 5,363.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.