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Finding the Third Proportional to 8,934.75 and 19,438.88

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Solution

The third proportional to 8,934.75 and 19,438.88 is: 42,292.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.75 : 19,438.88 = 19,438.88 : x
  2. Step 2: Convert to fraction form
    8,934.75/19,438.88 = 19,438.88/x
  3. Step 3: Cross multiply
    8,934.75x = 19,438.88 × 19,438.88
  4. Step 4: Simplify right side
    8,934.75x = 377,869,861.27
  5. Step 5: Solve for x
    x = 377,869,861.27/8,934.75
  6. Step 6: Final answer
    x = 42,292.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.