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Finding the Third Proportional to 16,142 and 24,205

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Solution

The third proportional to 16,142 and 24,205 is: 36,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142 : 24,205 = 24,205 : x
  2. Step 2: Convert to fraction form
    16,142/24,205 = 24,205/x
  3. Step 3: Cross multiply
    16,142x = 24,205 × 24,205
  4. Step 4: Simplify right side
    16,142x = 585,882,025
  5. Step 5: Solve for x
    x = 585,882,025/16,142
  6. Step 6: Final answer
    x = 36,295.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.