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Finding the Third Proportional to 19,694.39 and 42,156.70

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Solution

The third proportional to 19,694.39 and 42,156.70 is: 90,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.39 : 42,156.70 = 42,156.70 : x
  2. Step 2: Convert to fraction form
    19,694.39/42,156.70 = 42,156.70/x
  3. Step 3: Cross multiply
    19,694.39x = 42,156.70 × 42,156.70
  4. Step 4: Simplify right side
    19,694.39x = 1,777,187,618.37
  5. Step 5: Solve for x
    x = 1,777,187,618.37/19,694.39
  6. Step 6: Final answer
    x = 90,238.26

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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.