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Finding the Third Proportional to 5,972 and 7,052

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Solution

The third proportional to 5,972 and 7,052 is: 8,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,972 : 7,052 = 7,052 : x
  2. Step 2: Convert to fraction form
    5,972/7,052 = 7,052/x
  3. Step 3: Cross multiply
    5,972x = 7,052 × 7,052
  4. Step 4: Simplify right side
    5,972x = 49,730,704
  5. Step 5: Solve for x
    x = 49,730,704/5,972
  6. Step 6: Final answer
    x = 8,327.31

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.