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Finding the Third Proportional to 6,697.69 and 14,523.05

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Solution

The third proportional to 6,697.69 and 14,523.05 is: 31,491.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.69 : 14,523.05 = 14,523.05 : x
  2. Step 2: Convert to fraction form
    6,697.69/14,523.05 = 14,523.05/x
  3. Step 3: Cross multiply
    6,697.69x = 14,523.05 × 14,523.05
  4. Step 4: Simplify right side
    6,697.69x = 210,918,890.53
  5. Step 5: Solve for x
    x = 210,918,890.53/6,697.69
  6. Step 6: Final answer
    x = 31,491.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.