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Finding the Third Proportional to 25,754 and 53,163

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Solution

The third proportional to 25,754 and 53,163 is: 109,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,754 : 53,163 = 53,163 : x
  2. Step 2: Convert to fraction form
    25,754/53,163 = 53,163/x
  3. Step 3: Cross multiply
    25,754x = 53,163 × 53,163
  4. Step 4: Simplify right side
    25,754x = 2,826,304,569
  5. Step 5: Solve for x
    x = 2,826,304,569/25,754
  6. Step 6: Final answer
    x = 109,742.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.