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Finding the Third Proportional to 27,767 and 40,609

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Solution

The third proportional to 27,767 and 40,609 is: 59,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,767 : 40,609 = 40,609 : x
  2. Step 2: Convert to fraction form
    27,767/40,609 = 40,609/x
  3. Step 3: Cross multiply
    27,767x = 40,609 × 40,609
  4. Step 4: Simplify right side
    27,767x = 1,649,090,881
  5. Step 5: Solve for x
    x = 1,649,090,881/27,767
  6. Step 6: Final answer
    x = 59,390.32

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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.