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Finding the Third Proportional to 19,828.13 and 31,519.13

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Solution

The third proportional to 19,828.13 and 31,519.13 is: 50,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.13 : 31,519.13 = 31,519.13 : x
  2. Step 2: Convert to fraction form
    19,828.13/31,519.13 = 31,519.13/x
  3. Step 3: Cross multiply
    19,828.13x = 31,519.13 × 31,519.13
  4. Step 4: Simplify right side
    19,828.13x = 993,455,240.77
  5. Step 5: Solve for x
    x = 993,455,240.77/19,828.13
  6. Step 6: Final answer
    x = 50,103.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.