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Finding the Third Proportional to 8,501 and 18,012.25

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Solution

The third proportional to 8,501 and 18,012.25 is: 38,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,501 : 18,012.25 = 18,012.25 : x
  2. Step 2: Convert to fraction form
    8,501/18,012.25 = 18,012.25/x
  3. Step 3: Cross multiply
    8,501x = 18,012.25 × 18,012.25
  4. Step 4: Simplify right side
    8,501x = 324,441,150.06
  5. Step 5: Solve for x
    x = 324,441,150.06/8,501
  6. Step 6: Final answer
    x = 38,165.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.