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Finding the Third Proportional to 13,530 and 32,356.50

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Solution

The third proportional to 13,530 and 32,356.50 is: 77,379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530 : 32,356.50 = 32,356.50 : x
  2. Step 2: Convert to fraction form
    13,530/32,356.50 = 32,356.50/x
  3. Step 3: Cross multiply
    13,530x = 32,356.50 × 32,356.50
  4. Step 4: Simplify right side
    13,530x = 1,046,943,092.25
  5. Step 5: Solve for x
    x = 1,046,943,092.25/13,530
  6. Step 6: Final answer
    x = 77,379.39

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.