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Finding the Third Proportional to 27,015 and 56,196

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Solution

The third proportional to 27,015 and 56,196 is: 116,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,015 : 56,196 = 56,196 : x
  2. Step 2: Convert to fraction form
    27,015/56,196 = 56,196/x
  3. Step 3: Cross multiply
    27,015x = 56,196 × 56,196
  4. Step 4: Simplify right side
    27,015x = 3,157,990,416
  5. Step 5: Solve for x
    x = 3,157,990,416/27,015
  6. Step 6: Final answer
    x = 116,897.66

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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.