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Finding the Third Proportional to 34,007 and 74,038

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Solution

The third proportional to 34,007 and 74,038 is: 161,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,007 : 74,038 = 74,038 : x
  2. Step 2: Convert to fraction form
    34,007/74,038 = 74,038/x
  3. Step 3: Cross multiply
    34,007x = 74,038 × 74,038
  4. Step 4: Simplify right side
    34,007x = 5,481,625,444
  5. Step 5: Solve for x
    x = 5,481,625,444/34,007
  6. Step 6: Final answer
    x = 161,191.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.