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Finding the Third Proportional to 52,438.50 and 67,261.50

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Solution

The third proportional to 52,438.50 and 67,261.50 is: 86,274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.50 : 67,261.50 = 67,261.50 : x
  2. Step 2: Convert to fraction form
    52,438.50/67,261.50 = 67,261.50/x
  3. Step 3: Cross multiply
    52,438.50x = 67,261.50 × 67,261.50
  4. Step 4: Simplify right side
    52,438.50x = 4,524,109,382.25
  5. Step 5: Solve for x
    x = 4,524,109,382.25/52,438.50
  6. Step 6: Final answer
    x = 86,274.58

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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.