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Finding the Third Proportional to 49,007 and 69,014

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Solution

The third proportional to 49,007 and 69,014 is: 97,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007 : 69,014 = 69,014 : x
  2. Step 2: Convert to fraction form
    49,007/69,014 = 69,014/x
  3. Step 3: Cross multiply
    49,007x = 69,014 × 69,014
  4. Step 4: Simplify right side
    49,007x = 4,762,932,196
  5. Step 5: Solve for x
    x = 4,762,932,196/49,007
  6. Step 6: Final answer
    x = 97,188.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.