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Finding the Third Proportional to 22,836 and 36,264

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Solution

The third proportional to 22,836 and 36,264 is: 57,587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836 : 36,264 = 36,264 : x
  2. Step 2: Convert to fraction form
    22,836/36,264 = 36,264/x
  3. Step 3: Cross multiply
    22,836x = 36,264 × 36,264
  4. Step 4: Simplify right side
    22,836x = 1,315,077,696
  5. Step 5: Solve for x
    x = 1,315,077,696/22,836
  6. Step 6: Final answer
    x = 57,587.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.