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Finding the Third Proportional to 7,747 and 8,863

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Solution

The third proportional to 7,747 and 8,863 is: 10,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747 : 8,863 = 8,863 : x
  2. Step 2: Convert to fraction form
    7,747/8,863 = 8,863/x
  3. Step 3: Cross multiply
    7,747x = 8,863 × 8,863
  4. Step 4: Simplify right side
    7,747x = 78,552,769
  5. Step 5: Solve for x
    x = 78,552,769/7,747
  6. Step 6: Final answer
    x = 10,139.77

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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.