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Finding the Third Proportional to 35,332 and 51,093

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Solution

The third proportional to 35,332 and 51,093 is: 73,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,332 : 51,093 = 51,093 : x
  2. Step 2: Convert to fraction form
    35,332/51,093 = 51,093/x
  3. Step 3: Cross multiply
    35,332x = 51,093 × 51,093
  4. Step 4: Simplify right side
    35,332x = 2,610,494,649
  5. Step 5: Solve for x
    x = 2,610,494,649/35,332
  6. Step 6: Final answer
    x = 73,884.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.