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Finding the Third Proportional to 37,716 and 79,224

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Solution

The third proportional to 37,716 and 79,224 is: 166,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,716 : 79,224 = 79,224 : x
  2. Step 2: Convert to fraction form
    37,716/79,224 = 79,224/x
  3. Step 3: Cross multiply
    37,716x = 79,224 × 79,224
  4. Step 4: Simplify right side
    37,716x = 6,276,442,176
  5. Step 5: Solve for x
    x = 6,276,442,176/37,716
  6. Step 6: Final answer
    x = 166,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.