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Finding the Third Proportional to 23,715 and 35,511.75

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Solution

The third proportional to 23,715 and 35,511.75 is: 53,176.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,715 : 35,511.75 = 35,511.75 : x
  2. Step 2: Convert to fraction form
    23,715/35,511.75 = 35,511.75/x
  3. Step 3: Cross multiply
    23,715x = 35,511.75 × 35,511.75
  4. Step 4: Simplify right side
    23,715x = 1,261,084,388.06
  5. Step 5: Solve for x
    x = 1,261,084,388.06/23,715
  6. Step 6: Final answer
    x = 53,176.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.