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Finding the Third Proportional to 47,583 and 71,097

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Solution

The third proportional to 47,583 and 71,097 is: 106,230.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,583 : 71,097 = 71,097 : x
  2. Step 2: Convert to fraction form
    47,583/71,097 = 71,097/x
  3. Step 3: Cross multiply
    47,583x = 71,097 × 71,097
  4. Step 4: Simplify right side
    47,583x = 5,054,783,409
  5. Step 5: Solve for x
    x = 5,054,783,409/47,583
  6. Step 6: Final answer
    x = 106,230.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.