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Finding the Third Proportional to 974 and 2,642

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Solution

The third proportional to 974 and 2,642 is: 7,166.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    974 : 2,642 = 2,642 : x
  2. Step 2: Convert to fraction form
    974/2,642 = 2,642/x
  3. Step 3: Cross multiply
    974x = 2,642 × 2,642
  4. Step 4: Simplify right side
    974x = 6,980,164
  5. Step 5: Solve for x
    x = 6,980,164/974
  6. Step 6: Final answer
    x = 7,166.49

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.