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Finding the Third Proportional to 15,420 and 28,392

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Solution

The third proportional to 15,420 and 28,392 is: 52,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,420 : 28,392 = 28,392 : x
  2. Step 2: Convert to fraction form
    15,420/28,392 = 28,392/x
  3. Step 3: Cross multiply
    15,420x = 28,392 × 28,392
  4. Step 4: Simplify right side
    15,420x = 806,105,664
  5. Step 5: Solve for x
    x = 806,105,664/15,420
  6. Step 6: Final answer
    x = 52,276.63

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.