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Finding the Third Proportional to 15,364 and 32,273

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Solution

The third proportional to 15,364 and 32,273 is: 67,791.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364 : 32,273 = 32,273 : x
  2. Step 2: Convert to fraction form
    15,364/32,273 = 32,273/x
  3. Step 3: Cross multiply
    15,364x = 32,273 × 32,273
  4. Step 4: Simplify right side
    15,364x = 1,041,546,529
  5. Step 5: Solve for x
    x = 1,041,546,529/15,364
  6. Step 6: Final answer
    x = 67,791.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.