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Finding the Third Proportional to 25,434 and 39,349

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Solution

The third proportional to 25,434 and 39,349 is: 60,876.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,434 : 39,349 = 39,349 : x
  2. Step 2: Convert to fraction form
    25,434/39,349 = 39,349/x
  3. Step 3: Cross multiply
    25,434x = 39,349 × 39,349
  4. Step 4: Simplify right side
    25,434x = 1,548,343,801
  5. Step 5: Solve for x
    x = 1,548,343,801/25,434
  6. Step 6: Final answer
    x = 60,876.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.