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Finding the Third Proportional to 23,707 and 31,810

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Solution

The third proportional to 23,707 and 31,810 is: 42,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707 : 31,810 = 31,810 : x
  2. Step 2: Convert to fraction form
    23,707/31,810 = 31,810/x
  3. Step 3: Cross multiply
    23,707x = 31,810 × 31,810
  4. Step 4: Simplify right side
    23,707x = 1,011,876,100
  5. Step 5: Solve for x
    x = 1,011,876,100/23,707
  6. Step 6: Final answer
    x = 42,682.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.