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Finding the Third Proportional to 27,087 and 56,337

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Solution

The third proportional to 27,087 and 56,337 is: 117,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,087 : 56,337 = 56,337 : x
  2. Step 2: Convert to fraction form
    27,087/56,337 = 56,337/x
  3. Step 3: Cross multiply
    27,087x = 56,337 × 56,337
  4. Step 4: Simplify right side
    27,087x = 3,173,857,569
  5. Step 5: Solve for x
    x = 3,173,857,569/27,087
  6. Step 6: Final answer
    x = 117,172.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.