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Finding the Third Proportional to 14,604.28 and 21,881.77

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Solution

The third proportional to 14,604.28 and 21,881.77 is: 32,785.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,604.28 : 21,881.77 = 21,881.77 : x
  2. Step 2: Convert to fraction form
    14,604.28/21,881.77 = 21,881.77/x
  3. Step 3: Cross multiply
    14,604.28x = 21,881.77 × 21,881.77
  4. Step 4: Simplify right side
    14,604.28x = 478,811,666.87
  5. Step 5: Solve for x
    x = 478,811,666.87/14,604.28
  6. Step 6: Final answer
    x = 32,785.71

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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.