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Finding the Third Proportional to 865.69 and 1,306.13

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Solution

The third proportional to 865.69 and 1,306.13 is: 1,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.69 : 1,306.13 = 1,306.13 : x
  2. Step 2: Convert to fraction form
    865.69/1,306.13 = 1,306.13/x
  3. Step 3: Cross multiply
    865.69x = 1,306.13 × 1,306.13
  4. Step 4: Simplify right side
    865.69x = 1,705,962.52
  5. Step 5: Solve for x
    x = 1,705,962.52/865.69
  6. Step 6: Final answer
    x = 1,970.64

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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.