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Finding the Third Proportional to 23,355 and 36,223.88

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Solution

The third proportional to 23,355 and 36,223.88 is: 56,183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,355 : 36,223.88 = 36,223.88 : x
  2. Step 2: Convert to fraction form
    23,355/36,223.88 = 36,223.88/x
  3. Step 3: Cross multiply
    23,355x = 36,223.88 × 36,223.88
  4. Step 4: Simplify right side
    23,355x = 1,312,169,120.02
  5. Step 5: Solve for x
    x = 1,312,169,120.02/23,355
  6. Step 6: Final answer
    x = 56,183.65

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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.