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Finding the Third Proportional to 34,500 and 74,283

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Solution

The third proportional to 34,500 and 74,283 is: 159,940.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 74,283 = 74,283 : x
  2. Step 2: Convert to fraction form
    34,500/74,283 = 74,283/x
  3. Step 3: Cross multiply
    34,500x = 74,283 × 74,283
  4. Step 4: Simplify right side
    34,500x = 5,517,964,089
  5. Step 5: Solve for x
    x = 5,517,964,089/34,500
  6. Step 6: Final answer
    x = 159,940.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.