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Finding the Third Proportional to 29,899.13 and 39,300.19

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Solution

The third proportional to 29,899.13 and 39,300.19 is: 51,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,899.13 : 39,300.19 = 39,300.19 : x
  2. Step 2: Convert to fraction form
    29,899.13/39,300.19 = 39,300.19/x
  3. Step 3: Cross multiply
    29,899.13x = 39,300.19 × 39,300.19
  4. Step 4: Simplify right side
    29,899.13x = 1,544,504,737.54
  5. Step 5: Solve for x
    x = 1,544,504,737.54/29,899.13
  6. Step 6: Final answer
    x = 51,657.19

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.