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Finding the Third Proportional to 36,954 and 54,297

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Solution

The third proportional to 36,954 and 54,297 is: 79,779.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954 : 54,297 = 54,297 : x
  2. Step 2: Convert to fraction form
    36,954/54,297 = 54,297/x
  3. Step 3: Cross multiply
    36,954x = 54,297 × 54,297
  4. Step 4: Simplify right side
    36,954x = 2,948,164,209
  5. Step 5: Solve for x
    x = 2,948,164,209/36,954
  6. Step 6: Final answer
    x = 79,779.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.