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Finding the Third Proportional to 41,102.44 and 58,978.13

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Solution

The third proportional to 41,102.44 and 58,978.13 is: 84,628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102.44 : 58,978.13 = 58,978.13 : x
  2. Step 2: Convert to fraction form
    41,102.44/58,978.13 = 58,978.13/x
  3. Step 3: Cross multiply
    41,102.44x = 58,978.13 × 58,978.13
  4. Step 4: Simplify right side
    41,102.44x = 3,478,419,228.52
  5. Step 5: Solve for x
    x = 3,478,419,228.52/41,102.44
  6. Step 6: Final answer
    x = 84,628.05

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.