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Finding the Third Proportional to 16,014 and 24,210

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Solution

The third proportional to 16,014 and 24,210 is: 36,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014 : 24,210 = 24,210 : x
  2. Step 2: Convert to fraction form
    16,014/24,210 = 24,210/x
  3. Step 3: Cross multiply
    16,014x = 24,210 × 24,210
  4. Step 4: Simplify right side
    16,014x = 586,124,100
  5. Step 5: Solve for x
    x = 586,124,100/16,014
  6. Step 6: Final answer
    x = 36,600.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.