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Finding the Third Proportional to 8,312.63 and 17,944.03

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Solution

The third proportional to 8,312.63 and 17,944.03 is: 38,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.63 : 17,944.03 = 17,944.03 : x
  2. Step 2: Convert to fraction form
    8,312.63/17,944.03 = 17,944.03/x
  3. Step 3: Cross multiply
    8,312.63x = 17,944.03 × 17,944.03
  4. Step 4: Simplify right side
    8,312.63x = 321,988,257.50
  5. Step 5: Solve for x
    x = 321,988,257.50/8,312.63
  6. Step 6: Final answer
    x = 38,734.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.