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Finding the Third Proportional to 34,515 and 74,673

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Solution

The third proportional to 34,515 and 74,673 is: 161,554.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,515 : 74,673 = 74,673 : x
  2. Step 2: Convert to fraction form
    34,515/74,673 = 74,673/x
  3. Step 3: Cross multiply
    34,515x = 74,673 × 74,673
  4. Step 4: Simplify right side
    34,515x = 5,576,056,929
  5. Step 5: Solve for x
    x = 5,576,056,929/34,515
  6. Step 6: Final answer
    x = 161,554.60

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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.