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Finding the Third Proportional to 22,696 and 36,276

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Solution

The third proportional to 22,696 and 36,276 is: 57,981.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,696 : 36,276 = 36,276 : x
  2. Step 2: Convert to fraction form
    22,696/36,276 = 36,276/x
  3. Step 3: Cross multiply
    22,696x = 36,276 × 36,276
  4. Step 4: Simplify right side
    22,696x = 1,315,948,176
  5. Step 5: Solve for x
    x = 1,315,948,176/22,696
  6. Step 6: Final answer
    x = 57,981.50

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.