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Finding the Third Proportional to 34,035.75 and 47,607.75

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Solution

The third proportional to 34,035.75 and 47,607.75 is: 66,591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,035.75 : 47,607.75 = 47,607.75 : x
  2. Step 2: Convert to fraction form
    34,035.75/47,607.75 = 47,607.75/x
  3. Step 3: Cross multiply
    34,035.75x = 47,607.75 × 47,607.75
  4. Step 4: Simplify right side
    34,035.75x = 2,266,497,860.06
  5. Step 5: Solve for x
    x = 2,266,497,860.06/34,035.75
  6. Step 6: Final answer
    x = 66,591.68

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.