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Finding the Third Proportional to 13,882 and 30,319

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Solution

The third proportional to 13,882 and 30,319 is: 66,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882 : 30,319 = 30,319 : x
  2. Step 2: Convert to fraction form
    13,882/30,319 = 30,319/x
  3. Step 3: Cross multiply
    13,882x = 30,319 × 30,319
  4. Step 4: Simplify right side
    13,882x = 919,241,761
  5. Step 5: Solve for x
    x = 919,241,761/13,882
  6. Step 6: Final answer
    x = 66,218.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.