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Finding the Third Proportional to 35,025.25 and 52,414.13

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Solution

The third proportional to 35,025.25 and 52,414.13 is: 78,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,025.25 : 52,414.13 = 52,414.13 : x
  2. Step 2: Convert to fraction form
    35,025.25/52,414.13 = 52,414.13/x
  3. Step 3: Cross multiply
    35,025.25x = 52,414.13 × 52,414.13
  4. Step 4: Simplify right side
    35,025.25x = 2,747,240,499.52
  5. Step 5: Solve for x
    x = 2,747,240,499.52/35,025.25
  6. Step 6: Final answer
    x = 78,436.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.