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Finding the Third Proportional to 25,569 and 52,407

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Solution

The third proportional to 25,569 and 52,407 is: 107,414.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,569 : 52,407 = 52,407 : x
  2. Step 2: Convert to fraction form
    25,569/52,407 = 52,407/x
  3. Step 3: Cross multiply
    25,569x = 52,407 × 52,407
  4. Step 4: Simplify right side
    25,569x = 2,746,493,649
  5. Step 5: Solve for x
    x = 2,746,493,649/25,569
  6. Step 6: Final answer
    x = 107,414.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.