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Finding the Third Proportional to 7,065 and 7,677

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Solution

The third proportional to 7,065 and 7,677 is: 8,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065 : 7,677 = 7,677 : x
  2. Step 2: Convert to fraction form
    7,065/7,677 = 7,677/x
  3. Step 3: Cross multiply
    7,065x = 7,677 × 7,677
  4. Step 4: Simplify right side
    7,065x = 58,936,329
  5. Step 5: Solve for x
    x = 58,936,329/7,065
  6. Step 6: Final answer
    x = 8,342.01

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.