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Finding the Third Proportional to 16,618.50 and 24,871.22

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Solution

The third proportional to 16,618.50 and 24,871.22 is: 37,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618.50 : 24,871.22 = 24,871.22 : x
  2. Step 2: Convert to fraction form
    16,618.50/24,871.22 = 24,871.22/x
  3. Step 3: Cross multiply
    16,618.50x = 24,871.22 × 24,871.22
  4. Step 4: Simplify right side
    16,618.50x = 618,577,522.11
  5. Step 5: Solve for x
    x = 618,577,522.11/16,618.50
  6. Step 6: Final answer
    x = 37,222.22

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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.