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Finding the Third Proportional to 5,787 and 10,224

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Solution

The third proportional to 5,787 and 10,224 is: 18,062.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 10,224 = 10,224 : x
  2. Step 2: Convert to fraction form
    5,787/10,224 = 10,224/x
  3. Step 3: Cross multiply
    5,787x = 10,224 × 10,224
  4. Step 4: Simplify right side
    5,787x = 104,530,176
  5. Step 5: Solve for x
    x = 104,530,176/5,787
  6. Step 6: Final answer
    x = 18,062.93

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.