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Finding the Third Proportional to 15,584.06 and 33,833.53

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Solution

The third proportional to 15,584.06 and 33,833.53 is: 73,453.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.06 : 33,833.53 = 33,833.53 : x
  2. Step 2: Convert to fraction form
    15,584.06/33,833.53 = 33,833.53/x
  3. Step 3: Cross multiply
    15,584.06x = 33,833.53 × 33,833.53
  4. Step 4: Simplify right side
    15,584.06x = 1,144,707,836.84
  5. Step 5: Solve for x
    x = 1,144,707,836.84/15,584.06
  6. Step 6: Final answer
    x = 73,453.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.