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Finding the Third Proportional to 39,358.50 and 84,936.50

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Solution

The third proportional to 39,358.50 and 84,936.50 is: 183,294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,358.50 : 84,936.50 = 84,936.50 : x
  2. Step 2: Convert to fraction form
    39,358.50/84,936.50 = 84,936.50/x
  3. Step 3: Cross multiply
    39,358.50x = 84,936.50 × 84,936.50
  4. Step 4: Simplify right side
    39,358.50x = 7,214,209,032.25
  5. Step 5: Solve for x
    x = 7,214,209,032.25/39,358.50
  6. Step 6: Final answer
    x = 183,294.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.