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Finding the Third Proportional to 16,824.50 and 24,624.75

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Solution

The third proportional to 16,824.50 and 24,624.75 is: 36,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824.50 : 24,624.75 = 24,624.75 : x
  2. Step 2: Convert to fraction form
    16,824.50/24,624.75 = 24,624.75/x
  3. Step 3: Cross multiply
    16,824.50x = 24,624.75 × 24,624.75
  4. Step 4: Simplify right side
    16,824.50x = 606,378,312.56
  5. Step 5: Solve for x
    x = 606,378,312.56/16,824.50
  6. Step 6: Final answer
    x = 36,041.39

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.