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Finding the Third Proportional to 24,009 and 31,859

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Solution

The third proportional to 24,009 and 31,859 is: 42,275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,009 : 31,859 = 31,859 : x
  2. Step 2: Convert to fraction form
    24,009/31,859 = 31,859/x
  3. Step 3: Cross multiply
    24,009x = 31,859 × 31,859
  4. Step 4: Simplify right side
    24,009x = 1,014,995,881
  5. Step 5: Solve for x
    x = 1,014,995,881/24,009
  6. Step 6: Final answer
    x = 42,275.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.