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Finding the Third Proportional to 976.13 and 1,474.69

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Solution

The third proportional to 976.13 and 1,474.69 is: 2,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,474.69 = 1,474.69 : x
  2. Step 2: Convert to fraction form
    976.13/1,474.69 = 1,474.69/x
  3. Step 3: Cross multiply
    976.13x = 1,474.69 × 1,474.69
  4. Step 4: Simplify right side
    976.13x = 2,174,703.22
  5. Step 5: Solve for x
    x = 2,174,703.22/976.13
  6. Step 6: Final answer
    x = 2,227.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.