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Finding the Third Proportional to 9,297 and 19,346.06

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Solution

The third proportional to 9,297 and 19,346.06 is: 40,257.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297 : 19,346.06 = 19,346.06 : x
  2. Step 2: Convert to fraction form
    9,297/19,346.06 = 19,346.06/x
  3. Step 3: Cross multiply
    9,297x = 19,346.06 × 19,346.06
  4. Step 4: Simplify right side
    9,297x = 374,270,134.25
  5. Step 5: Solve for x
    x = 374,270,134.25/9,297
  6. Step 6: Final answer
    x = 40,257.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.