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Finding the Third Proportional to 47,769 and 73,659

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Solution

The third proportional to 47,769 and 73,659 is: 113,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,769 : 73,659 = 73,659 : x
  2. Step 2: Convert to fraction form
    47,769/73,659 = 73,659/x
  3. Step 3: Cross multiply
    47,769x = 73,659 × 73,659
  4. Step 4: Simplify right side
    47,769x = 5,425,648,281
  5. Step 5: Solve for x
    x = 5,425,648,281/47,769
  6. Step 6: Final answer
    x = 113,580.95

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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.