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Finding the Third Proportional to 15,496 and 33,740

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Solution

The third proportional to 15,496 and 33,740 is: 73,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,496 : 33,740 = 33,740 : x
  2. Step 2: Convert to fraction form
    15,496/33,740 = 33,740/x
  3. Step 3: Cross multiply
    15,496x = 33,740 × 33,740
  4. Step 4: Simplify right side
    15,496x = 1,138,387,600
  5. Step 5: Solve for x
    x = 1,138,387,600/15,496
  6. Step 6: Final answer
    x = 73,463.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.