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Finding the Third Proportional to 7,716 and 8,932

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Solution

The third proportional to 7,716 and 8,932 is: 10,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716 : 8,932 = 8,932 : x
  2. Step 2: Convert to fraction form
    7,716/8,932 = 8,932/x
  3. Step 3: Cross multiply
    7,716x = 8,932 × 8,932
  4. Step 4: Simplify right side
    7,716x = 79,780,624
  5. Step 5: Solve for x
    x = 79,780,624/7,716
  6. Step 6: Final answer
    x = 10,339.64

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.