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Finding the Third Proportional to 40,614.75 and 59,072.63

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Solution

The third proportional to 40,614.75 and 59,072.63 is: 85,918.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.75 : 59,072.63 = 59,072.63 : x
  2. Step 2: Convert to fraction form
    40,614.75/59,072.63 = 59,072.63/x
  3. Step 3: Cross multiply
    40,614.75x = 59,072.63 × 59,072.63
  4. Step 4: Simplify right side
    40,614.75x = 3,489,575,024.39
  5. Step 5: Solve for x
    x = 3,489,575,024.39/40,614.75
  6. Step 6: Final answer
    x = 85,918.91

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.