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Finding the Third Proportional to 21,356 and 31,859

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Solution

The third proportional to 21,356 and 31,859 is: 47,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,356 : 31,859 = 31,859 : x
  2. Step 2: Convert to fraction form
    21,356/31,859 = 31,859/x
  3. Step 3: Cross multiply
    21,356x = 31,859 × 31,859
  4. Step 4: Simplify right side
    21,356x = 1,014,995,881
  5. Step 5: Solve for x
    x = 1,014,995,881/21,356
  6. Step 6: Final answer
    x = 47,527.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.