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Finding the Third Proportional to 47,550 and 67,923

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Solution

The third proportional to 47,550 and 67,923 is: 97,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,550 : 67,923 = 67,923 : x
  2. Step 2: Convert to fraction form
    47,550/67,923 = 67,923/x
  3. Step 3: Cross multiply
    47,550x = 67,923 × 67,923
  4. Step 4: Simplify right side
    47,550x = 4,613,533,929
  5. Step 5: Solve for x
    x = 4,613,533,929/47,550
  6. Step 6: Final answer
    x = 97,024.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.