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Finding the Third Proportional to 15,498 and 33,945.75

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Solution

The third proportional to 15,498 and 33,945.75 is: 74,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498 : 33,945.75 = 33,945.75 : x
  2. Step 2: Convert to fraction form
    15,498/33,945.75 = 33,945.75/x
  3. Step 3: Cross multiply
    15,498x = 33,945.75 × 33,945.75
  4. Step 4: Simplify right side
    15,498x = 1,152,313,943.06
  5. Step 5: Solve for x
    x = 1,152,313,943.06/15,498
  6. Step 6: Final answer
    x = 74,352.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.