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Finding the Third Proportional to 28,624 and 38,472

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Solution

The third proportional to 28,624 and 38,472 is: 51,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,624 : 38,472 = 38,472 : x
  2. Step 2: Convert to fraction form
    28,624/38,472 = 38,472/x
  3. Step 3: Cross multiply
    28,624x = 38,472 × 38,472
  4. Step 4: Simplify right side
    28,624x = 1,480,094,784
  5. Step 5: Solve for x
    x = 1,480,094,784/28,624
  6. Step 6: Final answer
    x = 51,708.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.