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Finding the Third Proportional to 16,132 and 34,815.50

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Solution

The third proportional to 16,132 and 34,815.50 is: 75,137.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,132 : 34,815.50 = 34,815.50 : x
  2. Step 2: Convert to fraction form
    16,132/34,815.50 = 34,815.50/x
  3. Step 3: Cross multiply
    16,132x = 34,815.50 × 34,815.50
  4. Step 4: Simplify right side
    16,132x = 1,212,119,040.25
  5. Step 5: Solve for x
    x = 1,212,119,040.25/16,132
  6. Step 6: Final answer
    x = 75,137.56

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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.