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Finding the Third Proportional to 34,017 and 74,546

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Solution

The third proportional to 34,017 and 74,546 is: 163,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,017 : 74,546 = 74,546 : x
  2. Step 2: Convert to fraction form
    34,017/74,546 = 74,546/x
  3. Step 3: Cross multiply
    34,017x = 74,546 × 74,546
  4. Step 4: Simplify right side
    34,017x = 5,557,106,116
  5. Step 5: Solve for x
    x = 5,557,106,116/34,017
  6. Step 6: Final answer
    x = 163,362.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.