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Finding the Third Proportional to 39,006 and 59,967.75

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Solution

The third proportional to 39,006 and 59,967.75 is: 92,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006 : 59,967.75 = 59,967.75 : x
  2. Step 2: Convert to fraction form
    39,006/59,967.75 = 59,967.75/x
  3. Step 3: Cross multiply
    39,006x = 59,967.75 × 59,967.75
  4. Step 4: Simplify right side
    39,006x = 3,596,131,040.06
  5. Step 5: Solve for x
    x = 3,596,131,040.06/39,006
  6. Step 6: Final answer
    x = 92,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.