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Finding the Third Proportional to 39,603 and 59,199

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Solution

The third proportional to 39,603 and 59,199 is: 88,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,603 : 59,199 = 59,199 : x
  2. Step 2: Convert to fraction form
    39,603/59,199 = 59,199/x
  3. Step 3: Cross multiply
    39,603x = 59,199 × 59,199
  4. Step 4: Simplify right side
    39,603x = 3,504,521,601
  5. Step 5: Solve for x
    x = 3,504,521,601/39,603
  6. Step 6: Final answer
    x = 88,491.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.