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Finding the Third Proportional to 34,403.06 and 73,828.13

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Solution

The third proportional to 34,403.06 and 73,828.13 is: 158,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,403.06 : 73,828.13 = 73,828.13 : x
  2. Step 2: Convert to fraction form
    34,403.06/73,828.13 = 73,828.13/x
  3. Step 3: Cross multiply
    34,403.06x = 73,828.13 × 73,828.13
  4. Step 4: Simplify right side
    34,403.06x = 5,450,592,041.02
  5. Step 5: Solve for x
    x = 5,450,592,041.02/34,403.06
  6. Step 6: Final answer
    x = 158,433.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.