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Finding the Third Proportional to 23,733 and 36,895.50

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Solution

The third proportional to 23,733 and 36,895.50 is: 57,358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,733 : 36,895.50 = 36,895.50 : x
  2. Step 2: Convert to fraction form
    23,733/36,895.50 = 36,895.50/x
  3. Step 3: Cross multiply
    23,733x = 36,895.50 × 36,895.50
  4. Step 4: Simplify right side
    23,733x = 1,361,277,920.25
  5. Step 5: Solve for x
    x = 1,361,277,920.25/23,733
  6. Step 6: Final answer
    x = 57,358.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.