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Finding the Third Proportional to 13,946 and 22,219

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Solution

The third proportional to 13,946 and 22,219 is: 35,399.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946 : 22,219 = 22,219 : x
  2. Step 2: Convert to fraction form
    13,946/22,219 = 22,219/x
  3. Step 3: Cross multiply
    13,946x = 22,219 × 22,219
  4. Step 4: Simplify right side
    13,946x = 493,683,961
  5. Step 5: Solve for x
    x = 493,683,961/13,946
  6. Step 6: Final answer
    x = 35,399.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.