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Finding the Third Proportional to 8,324.63 and 17,833.88

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Solution

The third proportional to 8,324.63 and 17,833.88 is: 38,205.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.63 : 17,833.88 = 17,833.88 : x
  2. Step 2: Convert to fraction form
    8,324.63/17,833.88 = 17,833.88/x
  3. Step 3: Cross multiply
    8,324.63x = 17,833.88 × 17,833.88
  4. Step 4: Simplify right side
    8,324.63x = 318,047,097.52
  5. Step 5: Solve for x
    x = 318,047,097.52/8,324.63
  6. Step 6: Final answer
    x = 38,205.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.