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Finding the Third Proportional to 47,283 and 73,314

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Solution

The third proportional to 47,283 and 73,314 is: 113,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283 : 73,314 = 73,314 : x
  2. Step 2: Convert to fraction form
    47,283/73,314 = 73,314/x
  3. Step 3: Cross multiply
    47,283x = 73,314 × 73,314
  4. Step 4: Simplify right side
    47,283x = 5,374,942,596
  5. Step 5: Solve for x
    x = 5,374,942,596/47,283
  6. Step 6: Final answer
    x = 113,676.01

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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.