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Finding the Third Proportional to 8,110.48 and 17,434.06

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Solution

The third proportional to 8,110.48 and 17,434.06 is: 37,475.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.48 : 17,434.06 = 17,434.06 : x
  2. Step 2: Convert to fraction form
    8,110.48/17,434.06 = 17,434.06/x
  3. Step 3: Cross multiply
    8,110.48x = 17,434.06 × 17,434.06
  4. Step 4: Simplify right side
    8,110.48x = 303,946,569.30
  5. Step 5: Solve for x
    x = 303,946,569.30/8,110.48
  6. Step 6: Final answer
    x = 37,475.78

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