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Finding the Third Proportional to 19,715.06 and 42,195.94

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Solution

The third proportional to 19,715.06 and 42,195.94 is: 90,311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,715.06 : 42,195.94 = 42,195.94 : x
  2. Step 2: Convert to fraction form
    19,715.06/42,195.94 = 42,195.94/x
  3. Step 3: Cross multiply
    19,715.06x = 42,195.94 × 42,195.94
  4. Step 4: Simplify right side
    19,715.06x = 1,780,497,141.50
  5. Step 5: Solve for x
    x = 1,780,497,141.50/19,715.06
  6. Step 6: Final answer
    x = 90,311.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.