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Finding the Third Proportional to 34,264 and 74,740

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Solution

The third proportional to 34,264 and 74,740 is: 163,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,264 : 74,740 = 74,740 : x
  2. Step 2: Convert to fraction form
    34,264/74,740 = 74,740/x
  3. Step 3: Cross multiply
    34,264x = 74,740 × 74,740
  4. Step 4: Simplify right side
    34,264x = 5,586,067,600
  5. Step 5: Solve for x
    x = 5,586,067,600/34,264
  6. Step 6: Final answer
    x = 163,030.22

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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.