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Finding the Third Proportional to 14,713.88 and 22,103.63

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Solution

The third proportional to 14,713.88 and 22,103.63 is: 33,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,713.88 : 22,103.63 = 22,103.63 : x
  2. Step 2: Convert to fraction form
    14,713.88/22,103.63 = 22,103.63/x
  3. Step 3: Cross multiply
    14,713.88x = 22,103.63 × 22,103.63
  4. Step 4: Simplify right side
    14,713.88x = 488,570,238.14
  5. Step 5: Solve for x
    x = 488,570,238.14/14,713.88
  6. Step 6: Final answer
    x = 33,204.73

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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.