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Finding the Third Proportional to 23,828 and 32,702

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Solution

The third proportional to 23,828 and 32,702 is: 44,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828 : 32,702 = 32,702 : x
  2. Step 2: Convert to fraction form
    23,828/32,702 = 32,702/x
  3. Step 3: Cross multiply
    23,828x = 32,702 × 32,702
  4. Step 4: Simplify right side
    23,828x = 1,069,420,804
  5. Step 5: Solve for x
    x = 1,069,420,804/23,828
  6. Step 6: Final answer
    x = 44,880.85

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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.