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Finding the Third Proportional to 9,032 and 18,440

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Solution

The third proportional to 9,032 and 18,440 is: 37,647.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032 : 18,440 = 18,440 : x
  2. Step 2: Convert to fraction form
    9,032/18,440 = 18,440/x
  3. Step 3: Cross multiply
    9,032x = 18,440 × 18,440
  4. Step 4: Simplify right side
    9,032x = 340,033,600
  5. Step 5: Solve for x
    x = 340,033,600/9,032
  6. Step 6: Final answer
    x = 37,647.65

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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.