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Finding the Third Proportional to 34,004.81 and 72,380.25

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Solution

The third proportional to 34,004.81 and 72,380.25 is: 154,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,004.81 : 72,380.25 = 72,380.25 : x
  2. Step 2: Convert to fraction form
    34,004.81/72,380.25 = 72,380.25/x
  3. Step 3: Cross multiply
    34,004.81x = 72,380.25 × 72,380.25
  4. Step 4: Simplify right side
    34,004.81x = 5,238,900,590.06
  5. Step 5: Solve for x
    x = 5,238,900,590.06/34,004.81
  6. Step 6: Final answer
    x = 154,063.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.