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Finding the Third Proportional to 39,330.56 and 82,503.56

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Solution

The third proportional to 39,330.56 and 82,503.56 is: 173,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,330.56 : 82,503.56 = 82,503.56 : x
  2. Step 2: Convert to fraction form
    39,330.56/82,503.56 = 82,503.56/x
  3. Step 3: Cross multiply
    39,330.56x = 82,503.56 × 82,503.56
  4. Step 4: Simplify right side
    39,330.56x = 6,806,837,825.19
  5. Step 5: Solve for x
    x = 6,806,837,825.19/39,330.56
  6. Step 6: Final answer
    x = 173,067.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.