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Finding the Third Proportional to 34,021.90 and 73,946.04

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Solution

The third proportional to 34,021.90 and 73,946.04 is: 160,720.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,021.90 : 73,946.04 = 73,946.04 : x
  2. Step 2: Convert to fraction form
    34,021.90/73,946.04 = 73,946.04/x
  3. Step 3: Cross multiply
    34,021.90x = 73,946.04 × 73,946.04
  4. Step 4: Simplify right side
    34,021.90x = 5,468,016,693.03
  5. Step 5: Solve for x
    x = 5,468,016,693.03/34,021.90
  6. Step 6: Final answer
    x = 160,720.50

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.