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Finding the Third Proportional to 18,114.75 and 39,069

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Solution

The third proportional to 18,114.75 and 39,069 is: 84,262.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,114.75 : 39,069 = 39,069 : x
  2. Step 2: Convert to fraction form
    18,114.75/39,069 = 39,069/x
  3. Step 3: Cross multiply
    18,114.75x = 39,069 × 39,069
  4. Step 4: Simplify right side
    18,114.75x = 1,526,386,761
  5. Step 5: Solve for x
    x = 1,526,386,761/18,114.75
  6. Step 6: Final answer
    x = 84,262.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.