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Finding the Third Proportional to 34,759.13 and 75,937.50

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Solution

The third proportional to 34,759.13 and 75,937.50 is: 165,899.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,759.13 : 75,937.50 = 75,937.50 : x
  2. Step 2: Convert to fraction form
    34,759.13/75,937.50 = 75,937.50/x
  3. Step 3: Cross multiply
    34,759.13x = 75,937.50 × 75,937.50
  4. Step 4: Simplify right side
    34,759.13x = 5,766,503,906.25
  5. Step 5: Solve for x
    x = 5,766,503,906.25/34,759.13
  6. Step 6: Final answer
    x = 165,899.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.