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Finding the Third Proportional to 38,284.50 and 57,468.75

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Solution

The third proportional to 38,284.50 and 57,468.75 is: 86,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,284.50 : 57,468.75 = 57,468.75 : x
  2. Step 2: Convert to fraction form
    38,284.50/57,468.75 = 57,468.75/x
  3. Step 3: Cross multiply
    38,284.50x = 57,468.75 × 57,468.75
  4. Step 4: Simplify right side
    38,284.50x = 3,302,657,226.56
  5. Step 5: Solve for x
    x = 3,302,657,226.56/38,284.50
  6. Step 6: Final answer
    x = 86,266.17

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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.