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Finding the Third Proportional to 19,576.50 and 31,521

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Solution

The third proportional to 19,576.50 and 31,521 is: 50,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.50 : 31,521 = 31,521 : x
  2. Step 2: Convert to fraction form
    19,576.50/31,521 = 31,521/x
  3. Step 3: Cross multiply
    19,576.50x = 31,521 × 31,521
  4. Step 4: Simplify right side
    19,576.50x = 993,573,441
  5. Step 5: Solve for x
    x = 993,573,441/19,576.50
  6. Step 6: Final answer
    x = 50,753.37

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.