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Finding the Third Proportional to 9,776 and 12,796

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Solution

The third proportional to 9,776 and 12,796 is: 16,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776 : 12,796 = 12,796 : x
  2. Step 2: Convert to fraction form
    9,776/12,796 = 12,796/x
  3. Step 3: Cross multiply
    9,776x = 12,796 × 12,796
  4. Step 4: Simplify right side
    9,776x = 163,737,616
  5. Step 5: Solve for x
    x = 163,737,616/9,776
  6. Step 6: Final answer
    x = 16,748.94

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.