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Finding the Third Proportional to 39,520 and 60,265

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Solution

The third proportional to 39,520 and 60,265 is: 91,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,520 : 60,265 = 60,265 : x
  2. Step 2: Convert to fraction form
    39,520/60,265 = 60,265/x
  3. Step 3: Cross multiply
    39,520x = 60,265 × 60,265
  4. Step 4: Simplify right side
    39,520x = 3,631,870,225
  5. Step 5: Solve for x
    x = 3,631,870,225/39,520
  6. Step 6: Final answer
    x = 91,899.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.