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Finding the Third Proportional to 14,971 and 22,456

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Solution

The third proportional to 14,971 and 22,456 is: 33,683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,971 : 22,456 = 22,456 : x
  2. Step 2: Convert to fraction form
    14,971/22,456 = 22,456/x
  3. Step 3: Cross multiply
    14,971x = 22,456 × 22,456
  4. Step 4: Simplify right side
    14,971x = 504,271,936
  5. Step 5: Solve for x
    x = 504,271,936/14,971
  6. Step 6: Final answer
    x = 33,683.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.