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Finding the Third Proportional to 8,330.34 and 17,928.84

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Solution

The third proportional to 8,330.34 and 17,928.84 is: 38,587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330.34 : 17,928.84 = 17,928.84 : x
  2. Step 2: Convert to fraction form
    8,330.34/17,928.84 = 17,928.84/x
  3. Step 3: Cross multiply
    8,330.34x = 17,928.84 × 17,928.84
  4. Step 4: Simplify right side
    8,330.34x = 321,443,438.21
  5. Step 5: Solve for x
    x = 321,443,438.21/8,330.34
  6. Step 6: Final answer
    x = 38,587.06

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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.