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Finding the Third Proportional to 15,463 and 33,386

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Solution

The third proportional to 15,463 and 33,386 is: 72,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463 : 33,386 = 33,386 : x
  2. Step 2: Convert to fraction form
    15,463/33,386 = 33,386/x
  3. Step 3: Cross multiply
    15,463x = 33,386 × 33,386
  4. Step 4: Simplify right side
    15,463x = 1,114,624,996
  5. Step 5: Solve for x
    x = 1,114,624,996/15,463
  6. Step 6: Final answer
    x = 72,083.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.