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Finding the Third Proportional to 16,714.69 and 25,964.72

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Solution

The third proportional to 16,714.69 and 25,964.72 is: 40,333.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,714.69 : 25,964.72 = 25,964.72 : x
  2. Step 2: Convert to fraction form
    16,714.69/25,964.72 = 25,964.72/x
  3. Step 3: Cross multiply
    16,714.69x = 25,964.72 × 25,964.72
  4. Step 4: Simplify right side
    16,714.69x = 674,166,619.77
  5. Step 5: Solve for x
    x = 674,166,619.77/16,714.69
  6. Step 6: Final answer
    x = 40,333.79

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.