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Finding the Third Proportional to 25,721 and 52,158

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Solution

The third proportional to 25,721 and 52,158 is: 105,767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,721 : 52,158 = 52,158 : x
  2. Step 2: Convert to fraction form
    25,721/52,158 = 52,158/x
  3. Step 3: Cross multiply
    25,721x = 52,158 × 52,158
  4. Step 4: Simplify right side
    25,721x = 2,720,456,964
  5. Step 5: Solve for x
    x = 2,720,456,964/25,721
  6. Step 6: Final answer
    x = 105,767.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.