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Finding the Third Proportional to 39,268 and 59,473.50

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Solution

The third proportional to 39,268 and 59,473.50 is: 90,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,268 : 59,473.50 = 59,473.50 : x
  2. Step 2: Convert to fraction form
    39,268/59,473.50 = 59,473.50/x
  3. Step 3: Cross multiply
    39,268x = 59,473.50 × 59,473.50
  4. Step 4: Simplify right side
    39,268x = 3,537,097,202.25
  5. Step 5: Solve for x
    x = 3,537,097,202.25/39,268
  6. Step 6: Final answer
    x = 90,075.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.