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Finding the Third Proportional to 17,580.66 and 35,814.09

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Solution

The third proportional to 17,580.66 and 35,814.09 is: 72,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,580.66 : 35,814.09 = 35,814.09 : x
  2. Step 2: Convert to fraction form
    17,580.66/35,814.09 = 35,814.09/x
  3. Step 3: Cross multiply
    17,580.66x = 35,814.09 × 35,814.09
  4. Step 4: Simplify right side
    17,580.66x = 1,282,649,311.13
  5. Step 5: Solve for x
    x = 1,282,649,311.13/17,580.66
  6. Step 6: Final answer
    x = 72,957.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.