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Finding the Third Proportional to 25,902 and 62,883

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Solution

The third proportional to 25,902 and 62,883 is: 152,662.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902 : 62,883 = 62,883 : x
  2. Step 2: Convert to fraction form
    25,902/62,883 = 62,883/x
  3. Step 3: Cross multiply
    25,902x = 62,883 × 62,883
  4. Step 4: Simplify right side
    25,902x = 3,954,271,689
  5. Step 5: Solve for x
    x = 3,954,271,689/25,902
  6. Step 6: Final answer
    x = 152,662.79

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.