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Finding the Third Proportional to 38,521.50 and 57,627

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Solution

The third proportional to 38,521.50 and 57,627 is: 86,208.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,521.50 : 57,627 = 57,627 : x
  2. Step 2: Convert to fraction form
    38,521.50/57,627 = 57,627/x
  3. Step 3: Cross multiply
    38,521.50x = 57,627 × 57,627
  4. Step 4: Simplify right side
    38,521.50x = 3,320,871,129
  5. Step 5: Solve for x
    x = 3,320,871,129/38,521.50
  6. Step 6: Final answer
    x = 86,208.25

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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.