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Finding the Third Proportional to 27,807 and 40,738

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Solution

The third proportional to 27,807 and 40,738 is: 59,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 40,738 = 40,738 : x
  2. Step 2: Convert to fraction form
    27,807/40,738 = 40,738/x
  3. Step 3: Cross multiply
    27,807x = 40,738 × 40,738
  4. Step 4: Simplify right side
    27,807x = 1,659,584,644
  5. Step 5: Solve for x
    x = 1,659,584,644/27,807
  6. Step 6: Final answer
    x = 59,682.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.