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Finding the Third Proportional to 23,675 and 51,040

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Solution

The third proportional to 23,675 and 51,040 is: 110,035.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,675 : 51,040 = 51,040 : x
  2. Step 2: Convert to fraction form
    23,675/51,040 = 51,040/x
  3. Step 3: Cross multiply
    23,675x = 51,040 × 51,040
  4. Step 4: Simplify right side
    23,675x = 2,605,081,600
  5. Step 5: Solve for x
    x = 2,605,081,600/23,675
  6. Step 6: Final answer
    x = 110,035.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.