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Finding the Third Proportional to 18,504 and 39,314.25

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Solution

The third proportional to 18,504 and 39,314.25 is: 83,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,504 : 39,314.25 = 39,314.25 : x
  2. Step 2: Convert to fraction form
    18,504/39,314.25 = 39,314.25/x
  3. Step 3: Cross multiply
    18,504x = 39,314.25 × 39,314.25
  4. Step 4: Simplify right side
    18,504x = 1,545,610,253.06
  5. Step 5: Solve for x
    x = 1,545,610,253.06/18,504
  6. Step 6: Final answer
    x = 83,528.44

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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.