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Finding the Third Proportional to 41,456.81 and 62,114.34

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Solution

The third proportional to 41,456.81 and 62,114.34 is: 93,065.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,456.81 : 62,114.34 = 62,114.34 : x
  2. Step 2: Convert to fraction form
    41,456.81/62,114.34 = 62,114.34/x
  3. Step 3: Cross multiply
    41,456.81x = 62,114.34 × 62,114.34
  4. Step 4: Simplify right side
    41,456.81x = 3,858,191,699.49
  5. Step 5: Solve for x
    x = 3,858,191,699.49/41,456.81
  6. Step 6: Final answer
    x = 93,065.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.