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Finding the Third Proportional to 47,536 and 73,904

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Solution

The third proportional to 47,536 and 73,904 is: 114,898.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,536 : 73,904 = 73,904 : x
  2. Step 2: Convert to fraction form
    47,536/73,904 = 73,904/x
  3. Step 3: Cross multiply
    47,536x = 73,904 × 73,904
  4. Step 4: Simplify right side
    47,536x = 5,461,801,216
  5. Step 5: Solve for x
    x = 5,461,801,216/47,536
  6. Step 6: Final answer
    x = 114,898.21

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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.