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Finding the Third Proportional to 836.38 and 1,301.13

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Solution

The third proportional to 836.38 and 1,301.13 is: 2,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.38 : 1,301.13 = 1,301.13 : x
  2. Step 2: Convert to fraction form
    836.38/1,301.13 = 1,301.13/x
  3. Step 3: Cross multiply
    836.38x = 1,301.13 × 1,301.13
  4. Step 4: Simplify right side
    836.38x = 1,692,926.27
  5. Step 5: Solve for x
    x = 1,692,926.27/836.38
  6. Step 6: Final answer
    x = 2,024.12

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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.