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Finding the Third Proportional to 34,038 and 74,796

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Solution

The third proportional to 34,038 and 74,796 is: 164,358.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,038 : 74,796 = 74,796 : x
  2. Step 2: Convert to fraction form
    34,038/74,796 = 74,796/x
  3. Step 3: Cross multiply
    34,038x = 74,796 × 74,796
  4. Step 4: Simplify right side
    34,038x = 5,594,441,616
  5. Step 5: Solve for x
    x = 5,594,441,616/34,038
  6. Step 6: Final answer
    x = 164,358.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.