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Finding the Third Proportional to 25,936 and 57,056

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Solution

The third proportional to 25,936 and 57,056 is: 125,516.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,936 : 57,056 = 57,056 : x
  2. Step 2: Convert to fraction form
    25,936/57,056 = 57,056/x
  3. Step 3: Cross multiply
    25,936x = 57,056 × 57,056
  4. Step 4: Simplify right side
    25,936x = 3,255,387,136
  5. Step 5: Solve for x
    x = 3,255,387,136/25,936
  6. Step 6: Final answer
    x = 125,516.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.