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Finding the Third Proportional to 25,444 and 56,446

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Solution

The third proportional to 25,444 and 56,446 is: 125,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,444 : 56,446 = 56,446 : x
  2. Step 2: Convert to fraction form
    25,444/56,446 = 56,446/x
  3. Step 3: Cross multiply
    25,444x = 56,446 × 56,446
  4. Step 4: Simplify right side
    25,444x = 3,186,150,916
  5. Step 5: Solve for x
    x = 3,186,150,916/25,444
  6. Step 6: Final answer
    x = 125,222.09

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.