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Finding the Third Proportional to 39,477 and 84,584.25

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Solution

The third proportional to 39,477 and 84,584.25 is: 181,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,477 : 84,584.25 = 84,584.25 : x
  2. Step 2: Convert to fraction form
    39,477/84,584.25 = 84,584.25/x
  3. Step 3: Cross multiply
    39,477x = 84,584.25 × 84,584.25
  4. Step 4: Simplify right side
    39,477x = 7,154,495,348.06
  5. Step 5: Solve for x
    x = 7,154,495,348.06/39,477
  6. Step 6: Final answer
    x = 181,231.99

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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.