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Finding the Third Proportional to 16,269.75 and 24,340.50

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Solution

The third proportional to 16,269.75 and 24,340.50 is: 36,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,269.75 : 24,340.50 = 24,340.50 : x
  2. Step 2: Convert to fraction form
    16,269.75/24,340.50 = 24,340.50/x
  3. Step 3: Cross multiply
    16,269.75x = 24,340.50 × 24,340.50
  4. Step 4: Simplify right side
    16,269.75x = 592,459,940.25
  5. Step 5: Solve for x
    x = 592,459,940.25/16,269.75
  6. Step 6: Final answer
    x = 36,414.82

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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.