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Finding the Third Proportional to 42,099.75 and 62,466.19

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Solution

The third proportional to 42,099.75 and 62,466.19 is: 92,685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,099.75 : 62,466.19 = 62,466.19 : x
  2. Step 2: Convert to fraction form
    42,099.75/62,466.19 = 62,466.19/x
  3. Step 3: Cross multiply
    42,099.75x = 62,466.19 × 62,466.19
  4. Step 4: Simplify right side
    42,099.75x = 3,902,024,580.79
  5. Step 5: Solve for x
    x = 3,902,024,580.79/42,099.75
  6. Step 6: Final answer
    x = 92,685.22

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.