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Finding the Third Proportional to 836.72 and 1,242.14

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Solution

The third proportional to 836.72 and 1,242.14 is: 1,844.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.72 : 1,242.14 = 1,242.14 : x
  2. Step 2: Convert to fraction form
    836.72/1,242.14 = 1,242.14/x
  3. Step 3: Cross multiply
    836.72x = 1,242.14 × 1,242.14
  4. Step 4: Simplify right side
    836.72x = 1,542,913.33
  5. Step 5: Solve for x
    x = 1,542,913.33/836.72
  6. Step 6: Final answer
    x = 1,844.00

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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.