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Finding the Third Proportional to 6,751.69 and 10,686.94

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Solution

The third proportional to 6,751.69 and 10,686.94 is: 16,915.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.69 : 10,686.94 = 10,686.94 : x
  2. Step 2: Convert to fraction form
    6,751.69/10,686.94 = 10,686.94/x
  3. Step 3: Cross multiply
    6,751.69x = 10,686.94 × 10,686.94
  4. Step 4: Simplify right side
    6,751.69x = 114,210,633.13
  5. Step 5: Solve for x
    x = 114,210,633.13/6,751.69
  6. Step 6: Final answer
    x = 16,915.86

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.