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Finding the Third Proportional to 2,116.76 and 3,274.80

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Solution

The third proportional to 2,116.76 and 3,274.80 is: 5,066.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.76 : 3,274.80 = 3,274.80 : x
  2. Step 2: Convert to fraction form
    2,116.76/3,274.80 = 3,274.80/x
  3. Step 3: Cross multiply
    2,116.76x = 3,274.80 × 3,274.80
  4. Step 4: Simplify right side
    2,116.76x = 10,724,345.74
  5. Step 5: Solve for x
    x = 10,724,345.74/2,116.76
  6. Step 6: Final answer
    x = 5,066.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.