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Finding the Third Proportional to 20,690 and 44,297

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Solution

The third proportional to 20,690 and 44,297 is: 94,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,690 : 44,297 = 44,297 : x
  2. Step 2: Convert to fraction form
    20,690/44,297 = 44,297/x
  3. Step 3: Cross multiply
    20,690x = 44,297 × 44,297
  4. Step 4: Simplify right side
    20,690x = 1,962,224,209
  5. Step 5: Solve for x
    x = 1,962,224,209/20,690
  6. Step 6: Final answer
    x = 94,839.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.