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Finding the Third Proportional to 19,314 and 39,868.88

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Solution

The third proportional to 19,314 and 39,868.88 is: 82,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,314 : 39,868.88 = 39,868.88 : x
  2. Step 2: Convert to fraction form
    19,314/39,868.88 = 39,868.88/x
  3. Step 3: Cross multiply
    19,314x = 39,868.88 × 39,868.88
  4. Step 4: Simplify right side
    19,314x = 1,589,527,193.77
  5. Step 5: Solve for x
    x = 1,589,527,193.77/19,314
  6. Step 6: Final answer
    x = 82,299.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.