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Finding the Third Proportional to 23,660 and 41,488

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Solution

The third proportional to 23,660 and 41,488 is: 72,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,660 : 41,488 = 41,488 : x
  2. Step 2: Convert to fraction form
    23,660/41,488 = 41,488/x
  3. Step 3: Cross multiply
    23,660x = 41,488 × 41,488
  4. Step 4: Simplify right side
    23,660x = 1,721,254,144
  5. Step 5: Solve for x
    x = 1,721,254,144/23,660
  6. Step 6: Final answer
    x = 72,749.54

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.