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Finding the Third Proportional to 39,733.50 and 55,084.50

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Solution

The third proportional to 39,733.50 and 55,084.50 is: 76,366.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,733.50 : 55,084.50 = 55,084.50 : x
  2. Step 2: Convert to fraction form
    39,733.50/55,084.50 = 55,084.50/x
  3. Step 3: Cross multiply
    39,733.50x = 55,084.50 × 55,084.50
  4. Step 4: Simplify right side
    39,733.50x = 3,034,302,140.25
  5. Step 5: Solve for x
    x = 3,034,302,140.25/39,733.50
  6. Step 6: Final answer
    x = 76,366.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.