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Finding the Third Proportional to 33,404 and 51,365

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Solution

The third proportional to 33,404 and 51,365 is: 78,983.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,404 : 51,365 = 51,365 : x
  2. Step 2: Convert to fraction form
    33,404/51,365 = 51,365/x
  3. Step 3: Cross multiply
    33,404x = 51,365 × 51,365
  4. Step 4: Simplify right side
    33,404x = 2,638,363,225
  5. Step 5: Solve for x
    x = 2,638,363,225/33,404
  6. Step 6: Final answer
    x = 78,983.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.