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Finding the Third Proportional to 45,798.75 and 68,352.75

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Solution

The third proportional to 45,798.75 and 68,352.75 is: 102,013.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,798.75 : 68,352.75 = 68,352.75 : x
  2. Step 2: Convert to fraction form
    45,798.75/68,352.75 = 68,352.75/x
  3. Step 3: Cross multiply
    45,798.75x = 68,352.75 × 68,352.75
  4. Step 4: Simplify right side
    45,798.75x = 4,672,098,432.56
  5. Step 5: Solve for x
    x = 4,672,098,432.56/45,798.75
  6. Step 6: Final answer
    x = 102,013.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.