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Finding the Third Proportional to 27,478 and 59,336

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Solution

The third proportional to 27,478 and 59,336 is: 128,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478 : 59,336 = 59,336 : x
  2. Step 2: Convert to fraction form
    27,478/59,336 = 59,336/x
  3. Step 3: Cross multiply
    27,478x = 59,336 × 59,336
  4. Step 4: Simplify right side
    27,478x = 3,520,760,896
  5. Step 5: Solve for x
    x = 3,520,760,896/27,478
  6. Step 6: Final answer
    x = 128,130.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.