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Finding the Third Proportional to 40,814.50 and 62,430

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Solution

The third proportional to 40,814.50 and 62,430 is: 95,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,814.50 : 62,430 = 62,430 : x
  2. Step 2: Convert to fraction form
    40,814.50/62,430 = 62,430/x
  3. Step 3: Cross multiply
    40,814.50x = 62,430 × 62,430
  4. Step 4: Simplify right side
    40,814.50x = 3,897,504,900
  5. Step 5: Solve for x
    x = 3,897,504,900/40,814.50
  6. Step 6: Final answer
    x = 95,493.14

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.