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Finding the Third Proportional to 7,986.94 and 18,457.03

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Solution

The third proportional to 7,986.94 and 18,457.03 is: 42,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.94 : 18,457.03 = 18,457.03 : x
  2. Step 2: Convert to fraction form
    7,986.94/18,457.03 = 18,457.03/x
  3. Step 3: Cross multiply
    7,986.94x = 18,457.03 × 18,457.03
  4. Step 4: Simplify right side
    7,986.94x = 340,662,002.56
  5. Step 5: Solve for x
    x = 340,662,002.56/7,986.94
  6. Step 6: Final answer
    x = 42,652.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.