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Finding the Third Proportional to 47,566 and 69,969

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Solution

The third proportional to 47,566 and 69,969 is: 102,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,566 : 69,969 = 69,969 : x
  2. Step 2: Convert to fraction form
    47,566/69,969 = 69,969/x
  3. Step 3: Cross multiply
    47,566x = 69,969 × 69,969
  4. Step 4: Simplify right side
    47,566x = 4,895,660,961
  5. Step 5: Solve for x
    x = 4,895,660,961/47,566
  6. Step 6: Final answer
    x = 102,923.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.