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Finding the Third Proportional to 25,648 and 40,092

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Solution

The third proportional to 25,648 and 40,092 is: 62,670.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,648 : 40,092 = 40,092 : x
  2. Step 2: Convert to fraction form
    25,648/40,092 = 40,092/x
  3. Step 3: Cross multiply
    25,648x = 40,092 × 40,092
  4. Step 4: Simplify right side
    25,648x = 1,607,368,464
  5. Step 5: Solve for x
    x = 1,607,368,464/25,648
  6. Step 6: Final answer
    x = 62,670.32

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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.