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Finding the Third Proportional to 16,542 and 35,673.75

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Solution

The third proportional to 16,542 and 35,673.75 is: 76,932.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542 : 35,673.75 = 35,673.75 : x
  2. Step 2: Convert to fraction form
    16,542/35,673.75 = 35,673.75/x
  3. Step 3: Cross multiply
    16,542x = 35,673.75 × 35,673.75
  4. Step 4: Simplify right side
    16,542x = 1,272,616,439.06
  5. Step 5: Solve for x
    x = 1,272,616,439.06/16,542
  6. Step 6: Final answer
    x = 76,932.44

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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.