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Finding the Third Proportional to 8,926.88 and 19,446.75

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Solution

The third proportional to 8,926.88 and 19,446.75 is: 42,363.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,926.88 : 19,446.75 = 19,446.75 : x
  2. Step 2: Convert to fraction form
    8,926.88/19,446.75 = 19,446.75/x
  3. Step 3: Cross multiply
    8,926.88x = 19,446.75 × 19,446.75
  4. Step 4: Simplify right side
    8,926.88x = 378,176,085.56
  5. Step 5: Solve for x
    x = 378,176,085.56/8,926.88
  6. Step 6: Final answer
    x = 42,363.77

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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.