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Finding the Third Proportional to 7,158 and 7,782

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Solution

The third proportional to 7,158 and 7,782 is: 8,460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,158 : 7,782 = 7,782 : x
  2. Step 2: Convert to fraction form
    7,158/7,782 = 7,782/x
  3. Step 3: Cross multiply
    7,158x = 7,782 × 7,782
  4. Step 4: Simplify right side
    7,158x = 60,559,524
  5. Step 5: Solve for x
    x = 60,559,524/7,158
  6. Step 6: Final answer
    x = 8,460.40

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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.