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Finding the Third Proportional to 32,228 and 74,758

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Solution

The third proportional to 32,228 and 74,758 is: 173,413.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,228 : 74,758 = 74,758 : x
  2. Step 2: Convert to fraction form
    32,228/74,758 = 74,758/x
  3. Step 3: Cross multiply
    32,228x = 74,758 × 74,758
  4. Step 4: Simplify right side
    32,228x = 5,588,758,564
  5. Step 5: Solve for x
    x = 5,588,758,564/32,228
  6. Step 6: Final answer
    x = 173,413.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.