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Finding the Third Proportional to 19,589.06 and 42,458.63

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Solution

The third proportional to 19,589.06 and 42,458.63 is: 92,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,589.06 : 42,458.63 = 42,458.63 : x
  2. Step 2: Convert to fraction form
    19,589.06/42,458.63 = 42,458.63/x
  3. Step 3: Cross multiply
    19,589.06x = 42,458.63 × 42,458.63
  4. Step 4: Simplify right side
    19,589.06x = 1,802,734,836.89
  5. Step 5: Solve for x
    x = 1,802,734,836.89/19,589.06
  6. Step 6: Final answer
    x = 92,027.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.