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Finding the Third Proportional to 25,544 and 56,056

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Solution

The third proportional to 25,544 and 56,056 is: 123,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,544 : 56,056 = 56,056 : x
  2. Step 2: Convert to fraction form
    25,544/56,056 = 56,056/x
  3. Step 3: Cross multiply
    25,544x = 56,056 × 56,056
  4. Step 4: Simplify right side
    25,544x = 3,142,275,136
  5. Step 5: Solve for x
    x = 3,142,275,136/25,544
  6. Step 6: Final answer
    x = 123,014.22

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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.