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Finding the Third Proportional to 14,731.88 and 20,705.63

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Solution

The third proportional to 14,731.88 and 20,705.63 is: 29,101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.88 : 20,705.63 = 20,705.63 : x
  2. Step 2: Convert to fraction form
    14,731.88/20,705.63 = 20,705.63/x
  3. Step 3: Cross multiply
    14,731.88x = 20,705.63 × 20,705.63
  4. Step 4: Simplify right side
    14,731.88x = 428,722,906.64
  5. Step 5: Solve for x
    x = 428,722,906.64/14,731.88
  6. Step 6: Final answer
    x = 29,101.72

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.