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Finding the Third Proportional to 8,931.09 and 19,624.78

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Solution

The third proportional to 8,931.09 and 19,624.78 is: 43,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.09 : 19,624.78 = 19,624.78 : x
  2. Step 2: Convert to fraction form
    8,931.09/19,624.78 = 19,624.78/x
  3. Step 3: Cross multiply
    8,931.09x = 19,624.78 × 19,624.78
  4. Step 4: Simplify right side
    8,931.09x = 385,132,039.11
  5. Step 5: Solve for x
    x = 385,132,039.11/8,931.09
  6. Step 6: Final answer
    x = 43,122.61

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.