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Finding the Third Proportional to 1,116.76 and 2,406.74

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Solution

The third proportional to 1,116.76 and 2,406.74 is: 5,186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.76 : 2,406.74 = 2,406.74 : x
  2. Step 2: Convert to fraction form
    1,116.76/2,406.74 = 2,406.74/x
  3. Step 3: Cross multiply
    1,116.76x = 2,406.74 × 2,406.74
  4. Step 4: Simplify right side
    1,116.76x = 5,792,417.36
  5. Step 5: Solve for x
    x = 5,792,417.36/1,116.76
  6. Step 6: Final answer
    x = 5,186.83

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.