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Finding the Third Proportional to 16,453.19 and 35,533.19

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Solution

The third proportional to 16,453.19 and 35,533.19 is: 76,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.19 : 35,533.19 = 35,533.19 : x
  2. Step 2: Convert to fraction form
    16,453.19/35,533.19 = 35,533.19/x
  3. Step 3: Cross multiply
    16,453.19x = 35,533.19 × 35,533.19
  4. Step 4: Simplify right side
    16,453.19x = 1,262,607,413.91
  5. Step 5: Solve for x
    x = 1,262,607,413.91/16,453.19
  6. Step 6: Final answer
    x = 76,739.38

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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.