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Finding the Third Proportional to 18,907 and 40,297

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Solution

The third proportional to 18,907 and 40,297 is: 85,886.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,907 : 40,297 = 40,297 : x
  2. Step 2: Convert to fraction form
    18,907/40,297 = 40,297/x
  3. Step 3: Cross multiply
    18,907x = 40,297 × 40,297
  4. Step 4: Simplify right side
    18,907x = 1,623,848,209
  5. Step 5: Solve for x
    x = 1,623,848,209/18,907
  6. Step 6: Final answer
    x = 85,886.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.