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Finding the Third Proportional to 13,720 and 32,356

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Solution

The third proportional to 13,720 and 32,356 is: 76,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720 : 32,356 = 32,356 : x
  2. Step 2: Convert to fraction form
    13,720/32,356 = 32,356/x
  3. Step 3: Cross multiply
    13,720x = 32,356 × 32,356
  4. Step 4: Simplify right side
    13,720x = 1,046,910,736
  5. Step 5: Solve for x
    x = 1,046,910,736/13,720
  6. Step 6: Final answer
    x = 76,305.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.