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Finding the Third Proportional to 33,328 and 51,585

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Solution

The third proportional to 33,328 and 51,585 is: 79,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,328 : 51,585 = 51,585 : x
  2. Step 2: Convert to fraction form
    33,328/51,585 = 51,585/x
  3. Step 3: Cross multiply
    33,328x = 51,585 × 51,585
  4. Step 4: Simplify right side
    33,328x = 2,661,012,225
  5. Step 5: Solve for x
    x = 2,661,012,225/33,328
  6. Step 6: Final answer
    x = 79,843.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.