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Finding the Third Proportional to 968.91 and 1,462.92

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Solution

The third proportional to 968.91 and 1,462.92 is: 2,208.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.91 : 1,462.92 = 1,462.92 : x
  2. Step 2: Convert to fraction form
    968.91/1,462.92 = 1,462.92/x
  3. Step 3: Cross multiply
    968.91x = 1,462.92 × 1,462.92
  4. Step 4: Simplify right side
    968.91x = 2,140,140.41
  5. Step 5: Solve for x
    x = 2,140,140.41/968.91
  6. Step 6: Final answer
    x = 2,208.82

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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.