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Finding the Third Proportional to 19,882.13 and 31,033.13

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Solution

The third proportional to 19,882.13 and 31,033.13 is: 48,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.13 : 31,033.13 = 31,033.13 : x
  2. Step 2: Convert to fraction form
    19,882.13/31,033.13 = 31,033.13/x
  3. Step 3: Cross multiply
    19,882.13x = 31,033.13 × 31,033.13
  4. Step 4: Simplify right side
    19,882.13x = 963,054,847.27
  5. Step 5: Solve for x
    x = 963,054,847.27/19,882.13
  6. Step 6: Final answer
    x = 48,438.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.