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Finding the Third Proportional to 54,405 and 69,799.50

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Solution

The third proportional to 54,405 and 69,799.50 is: 89,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,405 : 69,799.50 = 69,799.50 : x
  2. Step 2: Convert to fraction form
    54,405/69,799.50 = 69,799.50/x
  3. Step 3: Cross multiply
    54,405x = 69,799.50 × 69,799.50
  4. Step 4: Simplify right side
    54,405x = 4,871,970,200.25
  5. Step 5: Solve for x
    x = 4,871,970,200.25/54,405
  6. Step 6: Final answer
    x = 89,550.05

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.