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Finding the Third Proportional to 39,467.50 and 84,551

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Solution

The third proportional to 39,467.50 and 84,551 is: 181,133.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,467.50 : 84,551 = 84,551 : x
  2. Step 2: Convert to fraction form
    39,467.50/84,551 = 84,551/x
  3. Step 3: Cross multiply
    39,467.50x = 84,551 × 84,551
  4. Step 4: Simplify right side
    39,467.50x = 7,148,871,601
  5. Step 5: Solve for x
    x = 7,148,871,601/39,467.50
  6. Step 6: Final answer
    x = 181,133.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.