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Finding the Third Proportional to 25,566 and 54,444

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Solution

The third proportional to 25,566 and 54,444 is: 115,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566 : 54,444 = 54,444 : x
  2. Step 2: Convert to fraction form
    25,566/54,444 = 54,444/x
  3. Step 3: Cross multiply
    25,566x = 54,444 × 54,444
  4. Step 4: Simplify right side
    25,566x = 2,964,149,136
  5. Step 5: Solve for x
    x = 2,964,149,136/25,566
  6. Step 6: Final answer
    x = 115,941.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.