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Finding the Third Proportional to 25,962 and 56,481

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Solution

The third proportional to 25,962 and 56,481 is: 122,875.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,962 : 56,481 = 56,481 : x
  2. Step 2: Convert to fraction form
    25,962/56,481 = 56,481/x
  3. Step 3: Cross multiply
    25,962x = 56,481 × 56,481
  4. Step 4: Simplify right side
    25,962x = 3,190,103,361
  5. Step 5: Solve for x
    x = 3,190,103,361/25,962
  6. Step 6: Final answer
    x = 122,875.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.