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Finding the Third Proportional to 34,032 and 73,905

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Solution

The third proportional to 34,032 and 73,905 is: 160,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,032 : 73,905 = 73,905 : x
  2. Step 2: Convert to fraction form
    34,032/73,905 = 73,905/x
  3. Step 3: Cross multiply
    34,032x = 73,905 × 73,905
  4. Step 4: Simplify right side
    34,032x = 5,461,949,025
  5. Step 5: Solve for x
    x = 5,461,949,025/34,032
  6. Step 6: Final answer
    x = 160,494.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.