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Finding the Third Proportional to 19,877.91 and 42,489.56

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Solution

The third proportional to 19,877.91 and 42,489.56 is: 90,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.91 : 42,489.56 = 42,489.56 : x
  2. Step 2: Convert to fraction form
    19,877.91/42,489.56 = 42,489.56/x
  3. Step 3: Cross multiply
    19,877.91x = 42,489.56 × 42,489.56
  4. Step 4: Simplify right side
    19,877.91x = 1,805,362,921.44
  5. Step 5: Solve for x
    x = 1,805,362,921.44/19,877.91
  6. Step 6: Final answer
    x = 90,822.59

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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.