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Finding the Third Proportional to 5,954.45 and 12,899.88

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Solution

The third proportional to 5,954.45 and 12,899.88 is: 27,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.45 : 12,899.88 = 12,899.88 : x
  2. Step 2: Convert to fraction form
    5,954.45/12,899.88 = 12,899.88/x
  3. Step 3: Cross multiply
    5,954.45x = 12,899.88 × 12,899.88
  4. Step 4: Simplify right side
    5,954.45x = 166,406,976.58
  5. Step 5: Solve for x
    x = 166,406,976.58/5,954.45
  6. Step 6: Final answer
    x = 27,946.66

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Why These Related Problems?

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