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Finding the Third Proportional to 18,349 and 28,297

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Solution

The third proportional to 18,349 and 28,297 is: 43,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,349 : 28,297 = 28,297 : x
  2. Step 2: Convert to fraction form
    18,349/28,297 = 28,297/x
  3. Step 3: Cross multiply
    18,349x = 28,297 × 28,297
  4. Step 4: Simplify right side
    18,349x = 800,720,209
  5. Step 5: Solve for x
    x = 800,720,209/18,349
  6. Step 6: Final answer
    x = 43,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.