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Finding the Third Proportional to 34,809.75 and 80,030.53

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Solution

The third proportional to 34,809.75 and 80,030.53 is: 183,996.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,809.75 : 80,030.53 = 80,030.53 : x
  2. Step 2: Convert to fraction form
    34,809.75/80,030.53 = 80,030.53/x
  3. Step 3: Cross multiply
    34,809.75x = 80,030.53 × 80,030.53
  4. Step 4: Simplify right side
    34,809.75x = 6,404,885,932.16
  5. Step 5: Solve for x
    x = 6,404,885,932.16/34,809.75
  6. Step 6: Final answer
    x = 183,996.90

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.