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Finding the Third Proportional to 25,848 and 40,996

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Solution

The third proportional to 25,848 and 40,996 is: 65,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,848 : 40,996 = 40,996 : x
  2. Step 2: Convert to fraction form
    25,848/40,996 = 40,996/x
  3. Step 3: Cross multiply
    25,848x = 40,996 × 40,996
  4. Step 4: Simplify right side
    25,848x = 1,680,672,016
  5. Step 5: Solve for x
    x = 1,680,672,016/25,848
  6. Step 6: Final answer
    x = 65,021.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.