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Finding the Third Proportional to 15,643.13 and 33,240.38

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Solution

The third proportional to 15,643.13 and 33,240.38 is: 70,633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.13 : 33,240.38 = 33,240.38 : x
  2. Step 2: Convert to fraction form
    15,643.13/33,240.38 = 33,240.38/x
  3. Step 3: Cross multiply
    15,643.13x = 33,240.38 × 33,240.38
  4. Step 4: Simplify right side
    15,643.13x = 1,104,922,530.14
  5. Step 5: Solve for x
    x = 1,104,922,530.14/15,643.13
  6. Step 6: Final answer
    x = 70,633.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.