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Finding the Third Proportional to 966.94 and 1,726.95

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Solution

The third proportional to 966.94 and 1,726.95 is: 3,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,726.95 = 1,726.95 : x
  2. Step 2: Convert to fraction form
    966.94/1,726.95 = 1,726.95/x
  3. Step 3: Cross multiply
    966.94x = 1,726.95 × 1,726.95
  4. Step 4: Simplify right side
    966.94x = 2,982,340.11
  5. Step 5: Solve for x
    x = 2,982,340.11/966.94
  6. Step 6: Final answer
    x = 3,084.32

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.