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Finding the Third Proportional to 8,011.41 and 17,154.28

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Solution

The third proportional to 8,011.41 and 17,154.28 is: 36,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.41 : 17,154.28 = 17,154.28 : x
  2. Step 2: Convert to fraction form
    8,011.41/17,154.28 = 17,154.28/x
  3. Step 3: Cross multiply
    8,011.41x = 17,154.28 × 17,154.28
  4. Step 4: Simplify right side
    8,011.41x = 294,269,365.20
  5. Step 5: Solve for x
    x = 294,269,365.20/8,011.41
  6. Step 6: Final answer
    x = 36,731.30

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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.