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Finding the Third Proportional to 8,329.78 and 17,594.81

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Solution

The third proportional to 8,329.78 and 17,594.81 is: 37,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.78 : 17,594.81 = 17,594.81 : x
  2. Step 2: Convert to fraction form
    8,329.78/17,594.81 = 17,594.81/x
  3. Step 3: Cross multiply
    8,329.78x = 17,594.81 × 17,594.81
  4. Step 4: Simplify right side
    8,329.78x = 309,577,426.91
  5. Step 5: Solve for x
    x = 309,577,426.91/8,329.78
  6. Step 6: Final answer
    x = 37,165.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.