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Finding the Third Proportional to 16,549.50 and 31,423.50

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Solution

The third proportional to 16,549.50 and 31,423.50 is: 59,665.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,549.50 : 31,423.50 = 31,423.50 : x
  2. Step 2: Convert to fraction form
    16,549.50/31,423.50 = 31,423.50/x
  3. Step 3: Cross multiply
    16,549.50x = 31,423.50 × 31,423.50
  4. Step 4: Simplify right side
    16,549.50x = 987,436,352.25
  5. Step 5: Solve for x
    x = 987,436,352.25/16,549.50
  6. Step 6: Final answer
    x = 59,665.63

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.