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Finding the Third Proportional to 2,972 and 4,219.50

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Solution

The third proportional to 2,972 and 4,219.50 is: 5,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972 : 4,219.50 = 4,219.50 : x
  2. Step 2: Convert to fraction form
    2,972/4,219.50 = 4,219.50/x
  3. Step 3: Cross multiply
    2,972x = 4,219.50 × 4,219.50
  4. Step 4: Simplify right side
    2,972x = 17,804,180.25
  5. Step 5: Solve for x
    x = 17,804,180.25/2,972
  6. Step 6: Final answer
    x = 5,990.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.