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Finding the Third Proportional to 25,001 and 53,179

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Solution

The third proportional to 25,001 and 53,179 is: 113,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,001 : 53,179 = 53,179 : x
  2. Step 2: Convert to fraction form
    25,001/53,179 = 53,179/x
  3. Step 3: Cross multiply
    25,001x = 53,179 × 53,179
  4. Step 4: Simplify right side
    25,001x = 2,828,006,041
  5. Step 5: Solve for x
    x = 2,828,006,041/25,001
  6. Step 6: Final answer
    x = 113,115.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.