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Finding the Third Proportional to 15,515.25 and 33,491.06

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Solution

The third proportional to 15,515.25 and 33,491.06 is: 72,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,515.25 : 33,491.06 = 33,491.06 : x
  2. Step 2: Convert to fraction form
    15,515.25/33,491.06 = 33,491.06/x
  3. Step 3: Cross multiply
    15,515.25x = 33,491.06 × 33,491.06
  4. Step 4: Simplify right side
    15,515.25x = 1,121,651,267.38
  5. Step 5: Solve for x
    x = 1,121,651,267.38/15,515.25
  6. Step 6: Final answer
    x = 72,293.47

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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.