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Finding the Third Proportional to 27,872.86 and 39,733.35

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Solution

The third proportional to 27,872.86 and 39,733.35 is: 56,640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.86 : 39,733.35 = 39,733.35 : x
  2. Step 2: Convert to fraction form
    27,872.86/39,733.35 = 39,733.35/x
  3. Step 3: Cross multiply
    27,872.86x = 39,733.35 × 39,733.35
  4. Step 4: Simplify right side
    27,872.86x = 1,578,738,915.97
  5. Step 5: Solve for x
    x = 1,578,738,915.97/27,872.86
  6. Step 6: Final answer
    x = 56,640.72

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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.