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Finding the Third Proportional to 2,116.76 and 3,039.40

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Solution

The third proportional to 2,116.76 and 3,039.40 is: 4,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.76 : 3,039.40 = 3,039.40 : x
  2. Step 2: Convert to fraction form
    2,116.76/3,039.40 = 3,039.40/x
  3. Step 3: Cross multiply
    2,116.76x = 3,039.40 × 3,039.40
  4. Step 4: Simplify right side
    2,116.76x = 9,237,942.86
  5. Step 5: Solve for x
    x = 9,237,942.86/2,116.76
  6. Step 6: Final answer
    x = 4,364.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.