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Finding the Third Proportional to 19,782.56 and 41,995.13

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Solution

The third proportional to 19,782.56 and 41,995.13 is: 89,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.56 : 41,995.13 = 41,995.13 : x
  2. Step 2: Convert to fraction form
    19,782.56/41,995.13 = 41,995.13/x
  3. Step 3: Cross multiply
    19,782.56x = 41,995.13 × 41,995.13
  4. Step 4: Simplify right side
    19,782.56x = 1,763,590,523.77
  5. Step 5: Solve for x
    x = 1,763,590,523.77/19,782.56
  6. Step 6: Final answer
    x = 89,148.74

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.