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Finding the Third Proportional to 7,664.63 and 18,523.69

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Solution

The third proportional to 7,664.63 and 18,523.69 is: 44,767.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.63 : 18,523.69 = 18,523.69 : x
  2. Step 2: Convert to fraction form
    7,664.63/18,523.69 = 18,523.69/x
  3. Step 3: Cross multiply
    7,664.63x = 18,523.69 × 18,523.69
  4. Step 4: Simplify right side
    7,664.63x = 343,126,998.60
  5. Step 5: Solve for x
    x = 343,126,998.60/7,664.63
  6. Step 6: Final answer
    x = 44,767.62

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.