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Finding the Third Proportional to 19,969.66 and 42,709.78

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Solution

The third proportional to 19,969.66 and 42,709.78 is: 91,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,969.66 : 42,709.78 = 42,709.78 : x
  2. Step 2: Convert to fraction form
    19,969.66/42,709.78 = 42,709.78/x
  3. Step 3: Cross multiply
    19,969.66x = 42,709.78 × 42,709.78
  4. Step 4: Simplify right side
    19,969.66x = 1,824,125,414.42
  5. Step 5: Solve for x
    x = 1,824,125,414.42/19,969.66
  6. Step 6: Final answer
    x = 91,344.82

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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.