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Finding the Third Proportional to 25,157 and 52,762

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Solution

The third proportional to 25,157 and 52,762 is: 110,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157 : 52,762 = 52,762 : x
  2. Step 2: Convert to fraction form
    25,157/52,762 = 52,762/x
  3. Step 3: Cross multiply
    25,157x = 52,762 × 52,762
  4. Step 4: Simplify right side
    25,157x = 2,783,828,644
  5. Step 5: Solve for x
    x = 2,783,828,644/25,157
  6. Step 6: Final answer
    x = 110,658.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.