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Finding the Third Proportional to 27,765 and 40,610

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Solution

The third proportional to 27,765 and 40,610 is: 59,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,765 : 40,610 = 40,610 : x
  2. Step 2: Convert to fraction form
    27,765/40,610 = 40,610/x
  3. Step 3: Cross multiply
    27,765x = 40,610 × 40,610
  4. Step 4: Simplify right side
    27,765x = 1,649,172,100
  5. Step 5: Solve for x
    x = 1,649,172,100/27,765
  6. Step 6: Final answer
    x = 59,397.52

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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.