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Finding the Third Proportional to 15,617.81 and 33,544.13

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Solution

The third proportional to 15,617.81 and 33,544.13 is: 72,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,617.81 : 33,544.13 = 33,544.13 : x
  2. Step 2: Convert to fraction form
    15,617.81/33,544.13 = 33,544.13/x
  3. Step 3: Cross multiply
    15,617.81x = 33,544.13 × 33,544.13
  4. Step 4: Simplify right side
    15,617.81x = 1,125,208,322.02
  5. Step 5: Solve for x
    x = 1,125,208,322.02/15,617.81
  6. Step 6: Final answer
    x = 72,046.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.