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Finding the Third Proportional to 19,318.50 and 29,023.31

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Solution

The third proportional to 19,318.50 and 29,023.31 is: 43,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,318.50 : 29,023.31 = 29,023.31 : x
  2. Step 2: Convert to fraction form
    19,318.50/29,023.31 = 29,023.31/x
  3. Step 3: Cross multiply
    19,318.50x = 29,023.31 × 29,023.31
  4. Step 4: Simplify right side
    19,318.50x = 842,352,668.47
  5. Step 5: Solve for x
    x = 842,352,668.47/19,318.50
  6. Step 6: Final answer
    x = 43,603.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.