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Finding the Third Proportional to 39,435 and 57,616.50

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Solution

The third proportional to 39,435 and 57,616.50 is: 84,180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,435 : 57,616.50 = 57,616.50 : x
  2. Step 2: Convert to fraction form
    39,435/57,616.50 = 57,616.50/x
  3. Step 3: Cross multiply
    39,435x = 57,616.50 × 57,616.50
  4. Step 4: Simplify right side
    39,435x = 3,319,661,072.25
  5. Step 5: Solve for x
    x = 3,319,661,072.25/39,435
  6. Step 6: Final answer
    x = 84,180.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.