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Finding the Third Proportional to 23,659 and 36,627.75

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Solution

The third proportional to 23,659 and 36,627.75 is: 56,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,659 : 36,627.75 = 36,627.75 : x
  2. Step 2: Convert to fraction form
    23,659/36,627.75 = 36,627.75/x
  3. Step 3: Cross multiply
    23,659x = 36,627.75 × 36,627.75
  4. Step 4: Simplify right side
    23,659x = 1,341,592,070.06
  5. Step 5: Solve for x
    x = 1,341,592,070.06/23,659
  6. Step 6: Final answer
    x = 56,705.36

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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.