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Finding the Third Proportional to 27,107.50 and 43,125

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Solution

The third proportional to 27,107.50 and 43,125 is: 68,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.50 : 43,125 = 43,125 : x
  2. Step 2: Convert to fraction form
    27,107.50/43,125 = 43,125/x
  3. Step 3: Cross multiply
    27,107.50x = 43,125 × 43,125
  4. Step 4: Simplify right side
    27,107.50x = 1,859,765,625
  5. Step 5: Solve for x
    x = 1,859,765,625/27,107.50
  6. Step 6: Final answer
    x = 68,607.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.