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Finding the Third Proportional to 7,776 and 9,846

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Solution

The third proportional to 7,776 and 9,846 is: 12,467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 9,846 = 9,846 : x
  2. Step 2: Convert to fraction form
    7,776/9,846 = 9,846/x
  3. Step 3: Cross multiply
    7,776x = 9,846 × 9,846
  4. Step 4: Simplify right side
    7,776x = 96,943,716
  5. Step 5: Solve for x
    x = 96,943,716/7,776
  6. Step 6: Final answer
    x = 12,467.04

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.