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Finding the Third Proportional to 7,722 and 8,829

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Solution

The third proportional to 7,722 and 8,829 is: 10,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 8,829 = 8,829 : x
  2. Step 2: Convert to fraction form
    7,722/8,829 = 8,829/x
  3. Step 3: Cross multiply
    7,722x = 8,829 × 8,829
  4. Step 4: Simplify right side
    7,722x = 77,951,241
  5. Step 5: Solve for x
    x = 77,951,241/7,722
  6. Step 6: Final answer
    x = 10,094.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.