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Finding the Third Proportional to 22,297 and 29,740

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Solution

The third proportional to 22,297 and 29,740 is: 39,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297 : 29,740 = 29,740 : x
  2. Step 2: Convert to fraction form
    22,297/29,740 = 29,740/x
  3. Step 3: Cross multiply
    22,297x = 29,740 × 29,740
  4. Step 4: Simplify right side
    22,297x = 884,467,600
  5. Step 5: Solve for x
    x = 884,467,600/22,297
  6. Step 6: Final answer
    x = 39,667.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.