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Finding the Third Proportional to 45,828 and 67,099.50

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Solution

The third proportional to 45,828 and 67,099.50 is: 98,244.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,828 : 67,099.50 = 67,099.50 : x
  2. Step 2: Convert to fraction form
    45,828/67,099.50 = 67,099.50/x
  3. Step 3: Cross multiply
    45,828x = 67,099.50 × 67,099.50
  4. Step 4: Simplify right side
    45,828x = 4,502,342,900.25
  5. Step 5: Solve for x
    x = 4,502,342,900.25/45,828
  6. Step 6: Final answer
    x = 98,244.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.