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Finding the Third Proportional to 27,448 and 59,056

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Solution

The third proportional to 27,448 and 59,056 is: 127,062.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,448 : 59,056 = 59,056 : x
  2. Step 2: Convert to fraction form
    27,448/59,056 = 59,056/x
  3. Step 3: Cross multiply
    27,448x = 59,056 × 59,056
  4. Step 4: Simplify right side
    27,448x = 3,487,611,136
  5. Step 5: Solve for x
    x = 3,487,611,136/27,448
  6. Step 6: Final answer
    x = 127,062.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.