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Finding the Third Proportional to 952.72 and 1,376.13

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Solution

The third proportional to 952.72 and 1,376.13 is: 1,987.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.72 : 1,376.13 = 1,376.13 : x
  2. Step 2: Convert to fraction form
    952.72/1,376.13 = 1,376.13/x
  3. Step 3: Cross multiply
    952.72x = 1,376.13 × 1,376.13
  4. Step 4: Simplify right side
    952.72x = 1,893,733.45
  5. Step 5: Solve for x
    x = 1,893,733.45/952.72
  6. Step 6: Final answer
    x = 1,987.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.