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Finding the Third Proportional to 2,776.97 and 6,116.86

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Solution

The third proportional to 2,776.97 and 6,116.86 is: 13,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.97 : 6,116.86 = 6,116.86 : x
  2. Step 2: Convert to fraction form
    2,776.97/6,116.86 = 6,116.86/x
  3. Step 3: Cross multiply
    2,776.97x = 6,116.86 × 6,116.86
  4. Step 4: Simplify right side
    2,776.97x = 37,415,968.61
  5. Step 5: Solve for x
    x = 37,415,968.61/2,776.97
  6. Step 6: Final answer
    x = 13,473.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.