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Finding the Third Proportional to 27,536 and 39,336

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Solution

The third proportional to 27,536 and 39,336 is: 56,192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536 : 39,336 = 39,336 : x
  2. Step 2: Convert to fraction form
    27,536/39,336 = 39,336/x
  3. Step 3: Cross multiply
    27,536x = 39,336 × 39,336
  4. Step 4: Simplify right side
    27,536x = 1,547,320,896
  5. Step 5: Solve for x
    x = 1,547,320,896/27,536
  6. Step 6: Final answer
    x = 56,192.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.