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Finding the Third Proportional to 5,744 and 13,776

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Solution

The third proportional to 5,744 and 13,776 is: 33,039.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744 : 13,776 = 13,776 : x
  2. Step 2: Convert to fraction form
    5,744/13,776 = 13,776/x
  3. Step 3: Cross multiply
    5,744x = 13,776 × 13,776
  4. Step 4: Simplify right side
    5,744x = 189,778,176
  5. Step 5: Solve for x
    x = 189,778,176/5,744
  6. Step 6: Final answer
    x = 33,039.38

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.