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Finding the Third Proportional to 39,576 and 59,268

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Solution

The third proportional to 39,576 and 59,268 is: 88,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,576 : 59,268 = 59,268 : x
  2. Step 2: Convert to fraction form
    39,576/59,268 = 59,268/x
  3. Step 3: Cross multiply
    39,576x = 59,268 × 59,268
  4. Step 4: Simplify right side
    39,576x = 3,512,695,824
  5. Step 5: Solve for x
    x = 3,512,695,824/39,576
  6. Step 6: Final answer
    x = 88,758.23

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Why These Related Problems?

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