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Finding the Third Proportional to 27,874.50 and 59,529

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Solution

The third proportional to 27,874.50 and 59,529 is: 127,130.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,874.50 : 59,529 = 59,529 : x
  2. Step 2: Convert to fraction form
    27,874.50/59,529 = 59,529/x
  3. Step 3: Cross multiply
    27,874.50x = 59,529 × 59,529
  4. Step 4: Simplify right side
    27,874.50x = 3,543,701,841
  5. Step 5: Solve for x
    x = 3,543,701,841/27,874.50
  6. Step 6: Final answer
    x = 127,130.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.