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Finding the Third Proportional to 16,186.50 and 24,998.63

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Solution

The third proportional to 16,186.50 and 24,998.63 is: 38,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.50 : 24,998.63 = 24,998.63 : x
  2. Step 2: Convert to fraction form
    16,186.50/24,998.63 = 24,998.63/x
  3. Step 3: Cross multiply
    16,186.50x = 24,998.63 × 24,998.63
  4. Step 4: Simplify right side
    16,186.50x = 624,931,251.89
  5. Step 5: Solve for x
    x = 624,931,251.89/16,186.50
  6. Step 6: Final answer
    x = 38,608.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.