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Finding the Third Proportional to 16,869 and 24,756.50

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Solution

The third proportional to 16,869 and 24,756.50 is: 36,331.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,869 : 24,756.50 = 24,756.50 : x
  2. Step 2: Convert to fraction form
    16,869/24,756.50 = 24,756.50/x
  3. Step 3: Cross multiply
    16,869x = 24,756.50 × 24,756.50
  4. Step 4: Simplify right side
    16,869x = 612,884,292.25
  5. Step 5: Solve for x
    x = 612,884,292.25/16,869
  6. Step 6: Final answer
    x = 36,331.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.