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Finding the Third Proportional to 17,985.19 and 36,684.38

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Solution

The third proportional to 17,985.19 and 36,684.38 is: 74,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985.19 : 36,684.38 = 36,684.38 : x
  2. Step 2: Convert to fraction form
    17,985.19/36,684.38 = 36,684.38/x
  3. Step 3: Cross multiply
    17,985.19x = 36,684.38 × 36,684.38
  4. Step 4: Simplify right side
    17,985.19x = 1,345,743,369.14
  5. Step 5: Solve for x
    x = 1,345,743,369.14/17,985.19
  6. Step 6: Final answer
    x = 74,825.10

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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.