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Finding the Third Proportional to 34,045 and 74,809

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Solution

The third proportional to 34,045 and 74,809 is: 164,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,045 : 74,809 = 74,809 : x
  2. Step 2: Convert to fraction form
    34,045/74,809 = 74,809/x
  3. Step 3: Cross multiply
    34,045x = 74,809 × 74,809
  4. Step 4: Simplify right side
    34,045x = 5,596,386,481
  5. Step 5: Solve for x
    x = 5,596,386,481/34,045
  6. Step 6: Final answer
    x = 164,382.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.