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Finding the Third Proportional to 6,697.69 and 14,585.91

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Solution

The third proportional to 6,697.69 and 14,585.91 is: 31,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 14,585.91 = 14,585.91 : x
  2. Step 2: Convert to fraction form
    6,697.69/14,585.91 = 14,585.91/x
  3. Step 3: Cross multiply
    6,697.69x = 14,585.91 × 14,585.91
  4. Step 4: Simplify right side
    6,697.69x = 212,748,661.13
  5. Step 5: Solve for x
    x = 212,748,661.13/6,697.69
  6. Step 6: Final answer
    x = 31,764.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.