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Finding the Third Proportional to 8,354.81 and 17,398.55

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Solution

The third proportional to 8,354.81 and 17,398.55 is: 36,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.81 : 17,398.55 = 17,398.55 : x
  2. Step 2: Convert to fraction form
    8,354.81/17,398.55 = 17,398.55/x
  3. Step 3: Cross multiply
    8,354.81x = 17,398.55 × 17,398.55
  4. Step 4: Simplify right side
    8,354.81x = 302,709,433.36
  5. Step 5: Solve for x
    x = 302,709,433.36/8,354.81
  6. Step 6: Final answer
    x = 36,231.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.