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Finding the Third Proportional to 6,834.66 and 14,707.69

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Solution

The third proportional to 6,834.66 and 14,707.69 is: 31,649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.66 : 14,707.69 = 14,707.69 : x
  2. Step 2: Convert to fraction form
    6,834.66/14,707.69 = 14,707.69/x
  3. Step 3: Cross multiply
    6,834.66x = 14,707.69 × 14,707.69
  4. Step 4: Simplify right side
    6,834.66x = 216,316,071.60
  5. Step 5: Solve for x
    x = 216,316,071.60/6,834.66
  6. Step 6: Final answer
    x = 31,649.88

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.