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Finding the Third Proportional to 47,007 and 67,959

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Solution

The third proportional to 47,007 and 67,959 is: 98,249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,007 : 67,959 = 67,959 : x
  2. Step 2: Convert to fraction form
    47,007/67,959 = 67,959/x
  3. Step 3: Cross multiply
    47,007x = 67,959 × 67,959
  4. Step 4: Simplify right side
    47,007x = 4,618,425,681
  5. Step 5: Solve for x
    x = 4,618,425,681/47,007
  6. Step 6: Final answer
    x = 98,249.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.