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Finding the Third Proportional to 8,110.34 and 17,432.93

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Solution

The third proportional to 8,110.34 and 17,432.93 is: 37,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.34 : 17,432.93 = 17,432.93 : x
  2. Step 2: Convert to fraction form
    8,110.34/17,432.93 = 17,432.93/x
  3. Step 3: Cross multiply
    8,110.34x = 17,432.93 × 17,432.93
  4. Step 4: Simplify right side
    8,110.34x = 303,907,037.49
  5. Step 5: Solve for x
    x = 303,907,037.49/8,110.34
  6. Step 6: Final answer
    x = 37,471.57

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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.