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Finding the Third Proportional to 23,700 and 35,611

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Solution

The third proportional to 23,700 and 35,611 is: 53,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,700 : 35,611 = 35,611 : x
  2. Step 2: Convert to fraction form
    23,700/35,611 = 35,611/x
  3. Step 3: Cross multiply
    23,700x = 35,611 × 35,611
  4. Step 4: Simplify right side
    23,700x = 1,268,143,321
  5. Step 5: Solve for x
    x = 1,268,143,321/23,700
  6. Step 6: Final answer
    x = 53,508.16

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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.