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Finding the Third Proportional to 34,435.13 and 72,940.50

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Solution

The third proportional to 34,435.13 and 72,940.50 is: 154,502.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,435.13 : 72,940.50 = 72,940.50 : x
  2. Step 2: Convert to fraction form
    34,435.13/72,940.50 = 72,940.50/x
  3. Step 3: Cross multiply
    34,435.13x = 72,940.50 × 72,940.50
  4. Step 4: Simplify right side
    34,435.13x = 5,320,316,540.25
  5. Step 5: Solve for x
    x = 5,320,316,540.25/34,435.13
  6. Step 6: Final answer
    x = 154,502.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.