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Finding the Third Proportional to 34,968 and 47,227.50

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Solution

The third proportional to 34,968 and 47,227.50 is: 63,785.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,968 : 47,227.50 = 47,227.50 : x
  2. Step 2: Convert to fraction form
    34,968/47,227.50 = 47,227.50/x
  3. Step 3: Cross multiply
    34,968x = 47,227.50 × 47,227.50
  4. Step 4: Simplify right side
    34,968x = 2,230,436,756.25
  5. Step 5: Solve for x
    x = 2,230,436,756.25/34,968
  6. Step 6: Final answer
    x = 63,785.08

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.