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Finding the Third Proportional to 29,856.75 and 45,121.13

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Solution

The third proportional to 29,856.75 and 45,121.13 is: 68,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,856.75 : 45,121.13 = 45,121.13 : x
  2. Step 2: Convert to fraction form
    29,856.75/45,121.13 = 45,121.13/x
  3. Step 3: Cross multiply
    29,856.75x = 45,121.13 × 45,121.13
  4. Step 4: Simplify right side
    29,856.75x = 2,035,915,921.27
  5. Step 5: Solve for x
    x = 2,035,915,921.27/29,856.75
  6. Step 6: Final answer
    x = 68,189.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.