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Finding the Third Proportional to 39,584.25 and 53,775

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Solution

The third proportional to 39,584.25 and 53,775 is: 73,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,584.25 : 53,775 = 53,775 : x
  2. Step 2: Convert to fraction form
    39,584.25/53,775 = 53,775/x
  3. Step 3: Cross multiply
    39,584.25x = 53,775 × 53,775
  4. Step 4: Simplify right side
    39,584.25x = 2,891,750,625
  5. Step 5: Solve for x
    x = 2,891,750,625/39,584.25
  6. Step 6: Final answer
    x = 73,053.06

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.