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Finding the Third Proportional to 26,578.13 and 34,602.19

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Solution

The third proportional to 26,578.13 and 34,602.19 is: 45,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,578.13 : 34,602.19 = 34,602.19 : x
  2. Step 2: Convert to fraction form
    26,578.13/34,602.19 = 34,602.19/x
  3. Step 3: Cross multiply
    26,578.13x = 34,602.19 × 34,602.19
  4. Step 4: Simplify right side
    26,578.13x = 1,197,311,379.79
  5. Step 5: Solve for x
    x = 1,197,311,379.79/26,578.13
  6. Step 6: Final answer
    x = 45,048.75

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.