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Finding the Third Proportional to 47,097 and 66,006.75

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Solution

The third proportional to 47,097 and 66,006.75 is: 92,508.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097 : 66,006.75 = 66,006.75 : x
  2. Step 2: Convert to fraction form
    47,097/66,006.75 = 66,006.75/x
  3. Step 3: Cross multiply
    47,097x = 66,006.75 × 66,006.75
  4. Step 4: Simplify right side
    47,097x = 4,356,891,045.56
  5. Step 5: Solve for x
    x = 4,356,891,045.56/47,097
  6. Step 6: Final answer
    x = 92,508.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.