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Finding the Third Proportional to 8,116.88 and 17,652.94

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Solution

The third proportional to 8,116.88 and 17,652.94 is: 38,392.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.88 : 17,652.94 = 17,652.94 : x
  2. Step 2: Convert to fraction form
    8,116.88/17,652.94 = 17,652.94/x
  3. Step 3: Cross multiply
    8,116.88x = 17,652.94 × 17,652.94
  4. Step 4: Simplify right side
    8,116.88x = 311,626,202.38
  5. Step 5: Solve for x
    x = 311,626,202.38/8,116.88
  6. Step 6: Final answer
    x = 38,392.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.