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Finding the Third Proportional to 919.38 and 1,016.13

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Solution

The third proportional to 919.38 and 1,016.13 is: 1,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.38 : 1,016.13 = 1,016.13 : x
  2. Step 2: Convert to fraction form
    919.38/1,016.13 = 1,016.13/x
  3. Step 3: Cross multiply
    919.38x = 1,016.13 × 1,016.13
  4. Step 4: Simplify right side
    919.38x = 1,032,510.02
  5. Step 5: Solve for x
    x = 1,032,510.02/919.38
  6. Step 6: Final answer
    x = 1,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.