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Finding the Third Proportional to 974 and 1,072

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Solution

The third proportional to 974 and 1,072 is: 1,179.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 1,072 = 1,072 : x
  2. Step 2: Convert to fraction form
    974/1,072 = 1,072/x
  3. Step 3: Cross multiply
    974x = 1,072 × 1,072
  4. Step 4: Simplify right side
    974x = 1,149,184
  5. Step 5: Solve for x
    x = 1,149,184/974
  6. Step 6: Final answer
    x = 1,179.86

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.