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Finding the Third Proportional to 25,553 and 55,966

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Solution

The third proportional to 25,553 and 55,966 is: 122,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,553 : 55,966 = 55,966 : x
  2. Step 2: Convert to fraction form
    25,553/55,966 = 55,966/x
  3. Step 3: Cross multiply
    25,553x = 55,966 × 55,966
  4. Step 4: Simplify right side
    25,553x = 3,132,193,156
  5. Step 5: Solve for x
    x = 3,132,193,156/25,553
  6. Step 6: Final answer
    x = 122,576.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.