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Finding the Third Proportional to 27,472 and 39,248

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Solution

The third proportional to 27,472 and 39,248 is: 56,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 39,248 = 39,248 : x
  2. Step 2: Convert to fraction form
    27,472/39,248 = 39,248/x
  3. Step 3: Cross multiply
    27,472x = 39,248 × 39,248
  4. Step 4: Simplify right side
    27,472x = 1,540,405,504
  5. Step 5: Solve for x
    x = 1,540,405,504/27,472
  6. Step 6: Final answer
    x = 56,071.84

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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.