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Finding the Third Proportional to 966.75 and 1,507.92

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Solution

The third proportional to 966.75 and 1,507.92 is: 2,352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.75 : 1,507.92 = 1,507.92 : x
  2. Step 2: Convert to fraction form
    966.75/1,507.92 = 1,507.92/x
  3. Step 3: Cross multiply
    966.75x = 1,507.92 × 1,507.92
  4. Step 4: Simplify right side
    966.75x = 2,273,828.38
  5. Step 5: Solve for x
    x = 2,273,828.38/966.75
  6. Step 6: Final answer
    x = 2,352.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.