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Finding the Third Proportional to 7,776 and 11,637

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Solution

The third proportional to 7,776 and 11,637 is: 17,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 11,637 = 11,637 : x
  2. Step 2: Convert to fraction form
    7,776/11,637 = 11,637/x
  3. Step 3: Cross multiply
    7,776x = 11,637 × 11,637
  4. Step 4: Simplify right side
    7,776x = 135,419,769
  5. Step 5: Solve for x
    x = 135,419,769/7,776
  6. Step 6: Final answer
    x = 17,415.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.