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Finding the Third Proportional to 27,748.50 and 44,134.50

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Solution

The third proportional to 27,748.50 and 44,134.50 is: 70,196.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,748.50 : 44,134.50 = 44,134.50 : x
  2. Step 2: Convert to fraction form
    27,748.50/44,134.50 = 44,134.50/x
  3. Step 3: Cross multiply
    27,748.50x = 44,134.50 × 44,134.50
  4. Step 4: Simplify right side
    27,748.50x = 1,947,854,090.25
  5. Step 5: Solve for x
    x = 1,947,854,090.25/27,748.50
  6. Step 6: Final answer
    x = 70,196.73

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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.