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Finding the Third Proportional to 47,730 and 73,797

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Solution

The third proportional to 47,730 and 73,797 is: 114,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,730 : 73,797 = 73,797 : x
  2. Step 2: Convert to fraction form
    47,730/73,797 = 73,797/x
  3. Step 3: Cross multiply
    47,730x = 73,797 × 73,797
  4. Step 4: Simplify right side
    47,730x = 5,445,997,209
  5. Step 5: Solve for x
    x = 5,445,997,209/47,730
  6. Step 6: Final answer
    x = 114,100.09

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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.