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Finding the Third Proportional to 27,858 and 40,720

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Solution

The third proportional to 27,858 and 40,720 is: 59,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858 : 40,720 = 40,720 : x
  2. Step 2: Convert to fraction form
    27,858/40,720 = 40,720/x
  3. Step 3: Cross multiply
    27,858x = 40,720 × 40,720
  4. Step 4: Simplify right side
    27,858x = 1,658,118,400
  5. Step 5: Solve for x
    x = 1,658,118,400/27,858
  6. Step 6: Final answer
    x = 59,520.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.