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Finding the Third Proportional to 25,470 and 52,731

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Solution

The third proportional to 25,470 and 52,731 is: 109,169.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470 : 52,731 = 52,731 : x
  2. Step 2: Convert to fraction form
    25,470/52,731 = 52,731/x
  3. Step 3: Cross multiply
    25,470x = 52,731 × 52,731
  4. Step 4: Simplify right side
    25,470x = 2,780,558,361
  5. Step 5: Solve for x
    x = 2,780,558,361/25,470
  6. Step 6: Final answer
    x = 109,169.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.