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Finding the Third Proportional to 5,875 and 13,757

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Solution

The third proportional to 5,875 and 13,757 is: 32,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,875 : 13,757 = 13,757 : x
  2. Step 2: Convert to fraction form
    5,875/13,757 = 13,757/x
  3. Step 3: Cross multiply
    5,875x = 13,757 × 13,757
  4. Step 4: Simplify right side
    5,875x = 189,255,049
  5. Step 5: Solve for x
    x = 189,255,049/5,875
  6. Step 6: Final answer
    x = 32,213.63

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.