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Finding the Third Proportional to 14,596.03 and 31,743.56

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Solution

The third proportional to 14,596.03 and 31,743.56 is: 69,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.03 : 31,743.56 = 31,743.56 : x
  2. Step 2: Convert to fraction form
    14,596.03/31,743.56 = 31,743.56/x
  3. Step 3: Cross multiply
    14,596.03x = 31,743.56 × 31,743.56
  4. Step 4: Simplify right side
    14,596.03x = 1,007,653,760.19
  5. Step 5: Solve for x
    x = 1,007,653,760.19/14,596.03
  6. Step 6: Final answer
    x = 69,036.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.