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Finding the Third Proportional to 27,856 and 35,280

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Solution

The third proportional to 27,856 and 35,280 is: 44,682.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856 : 35,280 = 35,280 : x
  2. Step 2: Convert to fraction form
    27,856/35,280 = 35,280/x
  3. Step 3: Cross multiply
    27,856x = 35,280 × 35,280
  4. Step 4: Simplify right side
    27,856x = 1,244,678,400
  5. Step 5: Solve for x
    x = 1,244,678,400/27,856
  6. Step 6: Final answer
    x = 44,682.60

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.