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Finding the Third Proportional to 34,690 and 73,005

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Solution

The third proportional to 34,690 and 73,005 is: 153,638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,690 : 73,005 = 73,005 : x
  2. Step 2: Convert to fraction form
    34,690/73,005 = 73,005/x
  3. Step 3: Cross multiply
    34,690x = 73,005 × 73,005
  4. Step 4: Simplify right side
    34,690x = 5,329,730,025
  5. Step 5: Solve for x
    x = 5,329,730,025/34,690
  6. Step 6: Final answer
    x = 153,638.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.