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Finding the Third Proportional to 23,400 and 32,300

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Solution

The third proportional to 23,400 and 32,300 is: 44,585.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400 : 32,300 = 32,300 : x
  2. Step 2: Convert to fraction form
    23,400/32,300 = 32,300/x
  3. Step 3: Cross multiply
    23,400x = 32,300 × 32,300
  4. Step 4: Simplify right side
    23,400x = 1,043,290,000
  5. Step 5: Solve for x
    x = 1,043,290,000/23,400
  6. Step 6: Final answer
    x = 44,585.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.