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Finding the Third Proportional to 47,640 and 73,841

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Solution

The third proportional to 47,640 and 73,841 is: 114,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,640 : 73,841 = 73,841 : x
  2. Step 2: Convert to fraction form
    47,640/73,841 = 73,841/x
  3. Step 3: Cross multiply
    47,640x = 73,841 × 73,841
  4. Step 4: Simplify right side
    47,640x = 5,452,493,281
  5. Step 5: Solve for x
    x = 5,452,493,281/47,640
  6. Step 6: Final answer
    x = 114,452.00

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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.