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Finding the Third Proportional to 23,432 and 35,111

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Solution

The third proportional to 23,432 and 35,111 is: 52,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,432 : 35,111 = 35,111 : x
  2. Step 2: Convert to fraction form
    23,432/35,111 = 35,111/x
  3. Step 3: Cross multiply
    23,432x = 35,111 × 35,111
  4. Step 4: Simplify right side
    23,432x = 1,232,782,321
  5. Step 5: Solve for x
    x = 1,232,782,321/23,432
  6. Step 6: Final answer
    x = 52,611.06

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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.