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Finding the Third Proportional to 25,861 and 53,339

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Solution

The third proportional to 25,861 and 53,339 is: 110,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,861 : 53,339 = 53,339 : x
  2. Step 2: Convert to fraction form
    25,861/53,339 = 53,339/x
  3. Step 3: Cross multiply
    25,861x = 53,339 × 53,339
  4. Step 4: Simplify right side
    25,861x = 2,845,048,921
  5. Step 5: Solve for x
    x = 2,845,048,921/25,861
  6. Step 6: Final answer
    x = 110,013.11

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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.