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Finding the Third Proportional to 7,116.19 and 10,774.69

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Solution

The third proportional to 7,116.19 and 10,774.69 is: 16,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.19 : 10,774.69 = 10,774.69 : x
  2. Step 2: Convert to fraction form
    7,116.19/10,774.69 = 10,774.69/x
  3. Step 3: Cross multiply
    7,116.19x = 10,774.69 × 10,774.69
  4. Step 4: Simplify right side
    7,116.19x = 116,093,890.72
  5. Step 5: Solve for x
    x = 116,093,890.72/7,116.19
  6. Step 6: Final answer
    x = 16,314.06

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.