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Finding the Third Proportional to 25,373 and 51,718

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Solution

The third proportional to 25,373 and 51,718 is: 105,417.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,373 : 51,718 = 51,718 : x
  2. Step 2: Convert to fraction form
    25,373/51,718 = 51,718/x
  3. Step 3: Cross multiply
    25,373x = 51,718 × 51,718
  4. Step 4: Simplify right side
    25,373x = 2,674,751,524
  5. Step 5: Solve for x
    x = 2,674,751,524/25,373
  6. Step 6: Final answer
    x = 105,417.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.