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Finding the Third Proportional to 27,520 and 38,472

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Solution

The third proportional to 27,520 and 38,472 is: 53,782.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,520 : 38,472 = 38,472 : x
  2. Step 2: Convert to fraction form
    27,520/38,472 = 38,472/x
  3. Step 3: Cross multiply
    27,520x = 38,472 × 38,472
  4. Step 4: Simplify right side
    27,520x = 1,480,094,784
  5. Step 5: Solve for x
    x = 1,480,094,784/27,520
  6. Step 6: Final answer
    x = 53,782.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.