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Finding the Third Proportional to 2,995.73 and 6,538.22

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Solution

The third proportional to 2,995.73 and 6,538.22 is: 14,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.73 : 6,538.22 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    2,995.73/6,538.22 = 6,538.22/x
  3. Step 3: Cross multiply
    2,995.73x = 6,538.22 × 6,538.22
  4. Step 4: Simplify right side
    2,995.73x = 42,748,304.42
  5. Step 5: Solve for x
    x = 42,748,304.42/2,995.73
  6. Step 6: Final answer
    x = 14,269.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.