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Finding the Third Proportional to 21,065 and 31,731

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Solution

The third proportional to 21,065 and 31,731 is: 47,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,065 : 31,731 = 31,731 : x
  2. Step 2: Convert to fraction form
    21,065/31,731 = 31,731/x
  3. Step 3: Cross multiply
    21,065x = 31,731 × 31,731
  4. Step 4: Simplify right side
    21,065x = 1,006,856,361
  5. Step 5: Solve for x
    x = 1,006,856,361/21,065
  6. Step 6: Final answer
    x = 47,797.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.