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Finding the Third Proportional to 25,644 and 40,086

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Solution

The third proportional to 25,644 and 40,086 is: 62,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,644 : 40,086 = 40,086 : x
  2. Step 2: Convert to fraction form
    25,644/40,086 = 40,086/x
  3. Step 3: Cross multiply
    25,644x = 40,086 × 40,086
  4. Step 4: Simplify right side
    25,644x = 1,606,887,396
  5. Step 5: Solve for x
    x = 1,606,887,396/25,644
  6. Step 6: Final answer
    x = 62,661.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.