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Finding the Third Proportional to 13,864 and 30,320

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Solution

The third proportional to 13,864 and 30,320 is: 66,308.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864 : 30,320 = 30,320 : x
  2. Step 2: Convert to fraction form
    13,864/30,320 = 30,320/x
  3. Step 3: Cross multiply
    13,864x = 30,320 × 30,320
  4. Step 4: Simplify right side
    13,864x = 919,302,400
  5. Step 5: Solve for x
    x = 919,302,400/13,864
  6. Step 6: Final answer
    x = 66,308.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.