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Finding the Third Proportional to 23,826 and 32,701

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Solution

The third proportional to 23,826 and 32,701 is: 44,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826 : 32,701 = 32,701 : x
  2. Step 2: Convert to fraction form
    23,826/32,701 = 32,701/x
  3. Step 3: Cross multiply
    23,826x = 32,701 × 32,701
  4. Step 4: Simplify right side
    23,826x = 1,069,355,401
  5. Step 5: Solve for x
    x = 1,069,355,401/23,826
  6. Step 6: Final answer
    x = 44,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.