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Finding the Third Proportional to 962.86 and 1,246.22

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Solution

The third proportional to 962.86 and 1,246.22 is: 1,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.86 : 1,246.22 = 1,246.22 : x
  2. Step 2: Convert to fraction form
    962.86/1,246.22 = 1,246.22/x
  3. Step 3: Cross multiply
    962.86x = 1,246.22 × 1,246.22
  4. Step 4: Simplify right side
    962.86x = 1,553,061.17
  5. Step 5: Solve for x
    x = 1,553,061.17/962.86
  6. Step 6: Final answer
    x = 1,612.97

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.