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Finding the Third Proportional to 6,508 and 7,052

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Solution

The third proportional to 6,508 and 7,052 is: 7,641.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 7,052 = 7,052 : x
  2. Step 2: Convert to fraction form
    6,508/7,052 = 7,052/x
  3. Step 3: Cross multiply
    6,508x = 7,052 × 7,052
  4. Step 4: Simplify right side
    6,508x = 49,730,704
  5. Step 5: Solve for x
    x = 49,730,704/6,508
  6. Step 6: Final answer
    x = 7,641.47

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.