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Finding the Third Proportional to 8,834.06 and 19,293.19

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Solution

The third proportional to 8,834.06 and 19,293.19 is: 42,135.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.06 : 19,293.19 = 19,293.19 : x
  2. Step 2: Convert to fraction form
    8,834.06/19,293.19 = 19,293.19/x
  3. Step 3: Cross multiply
    8,834.06x = 19,293.19 × 19,293.19
  4. Step 4: Simplify right side
    8,834.06x = 372,227,083.91
  5. Step 5: Solve for x
    x = 372,227,083.91/8,834.06
  6. Step 6: Final answer
    x = 42,135.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.