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Finding the Third Proportional to 24,180 and 34,230

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Solution

The third proportional to 24,180 and 34,230 is: 48,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180 : 34,230 = 34,230 : x
  2. Step 2: Convert to fraction form
    24,180/34,230 = 34,230/x
  3. Step 3: Cross multiply
    24,180x = 34,230 × 34,230
  4. Step 4: Simplify right side
    24,180x = 1,171,692,900
  5. Step 5: Solve for x
    x = 1,171,692,900/24,180
  6. Step 6: Final answer
    x = 48,457.11

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.