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Finding the Third Proportional to 27,647.16 and 59,975.44

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Solution

The third proportional to 27,647.16 and 59,975.44 is: 130,105.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.16 : 59,975.44 = 59,975.44 : x
  2. Step 2: Convert to fraction form
    27,647.16/59,975.44 = 59,975.44/x
  3. Step 3: Cross multiply
    27,647.16x = 59,975.44 × 59,975.44
  4. Step 4: Simplify right side
    27,647.16x = 3,597,053,103.32
  5. Step 5: Solve for x
    x = 3,597,053,103.32/27,647.16
  6. Step 6: Final answer
    x = 130,105.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.