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Finding the Third Proportional to 39,394.50 and 56,631

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Solution

The third proportional to 39,394.50 and 56,631 is: 81,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,394.50 : 56,631 = 56,631 : x
  2. Step 2: Convert to fraction form
    39,394.50/56,631 = 56,631/x
  3. Step 3: Cross multiply
    39,394.50x = 56,631 × 56,631
  4. Step 4: Simplify right side
    39,394.50x = 3,207,070,161
  5. Step 5: Solve for x
    x = 3,207,070,161/39,394.50
  6. Step 6: Final answer
    x = 81,409.08

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.