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Finding the Third Proportional to 39,569.50 and 84,287

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Solution

The third proportional to 39,569.50 and 84,287 is: 179,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,569.50 : 84,287 = 84,287 : x
  2. Step 2: Convert to fraction form
    39,569.50/84,287 = 84,287/x
  3. Step 3: Cross multiply
    39,569.50x = 84,287 × 84,287
  4. Step 4: Simplify right side
    39,569.50x = 7,104,298,369
  5. Step 5: Solve for x
    x = 7,104,298,369/39,569.50
  6. Step 6: Final answer
    x = 179,539.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.