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Finding the Third Proportional to 8,973 and 18,381.38

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Solution

The third proportional to 8,973 and 18,381.38 is: 37,654.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 18,381.38 = 18,381.38 : x
  2. Step 2: Convert to fraction form
    8,973/18,381.38 = 18,381.38/x
  3. Step 3: Cross multiply
    8,973x = 18,381.38 × 18,381.38
  4. Step 4: Simplify right side
    8,973x = 337,874,946.89
  5. Step 5: Solve for x
    x = 337,874,946.89/8,973
  6. Step 6: Final answer
    x = 37,654.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.