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Finding the Third Proportional to 42,713.16 and 67,884.33

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Solution

The third proportional to 42,713.16 and 67,884.33 is: 107,889.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,713.16 : 67,884.33 = 67,884.33 : x
  2. Step 2: Convert to fraction form
    42,713.16/67,884.33 = 67,884.33/x
  3. Step 3: Cross multiply
    42,713.16x = 67,884.33 × 67,884.33
  4. Step 4: Simplify right side
    42,713.16x = 4,608,282,004.98
  5. Step 5: Solve for x
    x = 4,608,282,004.98/42,713.16
  6. Step 6: Final answer
    x = 107,889.05

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.