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Finding the Third Proportional to 34,750 and 74,904

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Solution

The third proportional to 34,750 and 74,904 is: 161,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,750 : 74,904 = 74,904 : x
  2. Step 2: Convert to fraction form
    34,750/74,904 = 74,904/x
  3. Step 3: Cross multiply
    34,750x = 74,904 × 74,904
  4. Step 4: Simplify right side
    34,750x = 5,610,609,216
  5. Step 5: Solve for x
    x = 5,610,609,216/34,750
  6. Step 6: Final answer
    x = 161,456.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.