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Finding the Third Proportional to 27,490.50 and 59,901

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Solution

The third proportional to 27,490.50 and 59,901 is: 130,522.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,490.50 : 59,901 = 59,901 : x
  2. Step 2: Convert to fraction form
    27,490.50/59,901 = 59,901/x
  3. Step 3: Cross multiply
    27,490.50x = 59,901 × 59,901
  4. Step 4: Simplify right side
    27,490.50x = 3,588,129,801
  5. Step 5: Solve for x
    x = 3,588,129,801/27,490.50
  6. Step 6: Final answer
    x = 130,522.54

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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.