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Finding the Third Proportional to 13,696 and 32,320

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Solution

The third proportional to 13,696 and 32,320 is: 76,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 32,320 = 32,320 : x
  2. Step 2: Convert to fraction form
    13,696/32,320 = 32,320/x
  3. Step 3: Cross multiply
    13,696x = 32,320 × 32,320
  4. Step 4: Simplify right side
    13,696x = 1,044,582,400
  5. Step 5: Solve for x
    x = 1,044,582,400/13,696
  6. Step 6: Final answer
    x = 76,269.16

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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.