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Finding the Third Proportional to 8,116.45 and 17,446.64

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Solution

The third proportional to 8,116.45 and 17,446.64 is: 37,502.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,116.45 : 17,446.64 = 17,446.64 : x
  2. Step 2: Convert to fraction form
    8,116.45/17,446.64 = 17,446.64/x
  3. Step 3: Cross multiply
    8,116.45x = 17,446.64 × 17,446.64
  4. Step 4: Simplify right side
    8,116.45x = 304,385,269.10
  5. Step 5: Solve for x
    x = 304,385,269.10/8,116.45
  6. Step 6: Final answer
    x = 37,502.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.