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Finding the Third Proportional to 1,325.74 and 1,966.57

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Solution

The third proportional to 1,325.74 and 1,966.57 is: 2,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.74 : 1,966.57 = 1,966.57 : x
  2. Step 2: Convert to fraction form
    1,325.74/1,966.57 = 1,966.57/x
  3. Step 3: Cross multiply
    1,325.74x = 1,966.57 × 1,966.57
  4. Step 4: Simplify right side
    1,325.74x = 3,867,398.79
  5. Step 5: Solve for x
    x = 3,867,398.79/1,325.74
  6. Step 6: Final answer
    x = 2,917.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.