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Finding the Third Proportional to 14,044.64 and 30,771.77

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Solution

The third proportional to 14,044.64 and 30,771.77 is: 67,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.64 : 30,771.77 = 30,771.77 : x
  2. Step 2: Convert to fraction form
    14,044.64/30,771.77 = 30,771.77/x
  3. Step 3: Cross multiply
    14,044.64x = 30,771.77 × 30,771.77
  4. Step 4: Simplify right side
    14,044.64x = 946,902,040.49
  5. Step 5: Solve for x
    x = 946,902,040.49/14,044.64
  6. Step 6: Final answer
    x = 67,420.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.