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Finding the Third Proportional to 14,127.75 and 21,222

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Solution

The third proportional to 14,127.75 and 21,222 is: 31,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.75 : 21,222 = 21,222 : x
  2. Step 2: Convert to fraction form
    14,127.75/21,222 = 21,222/x
  3. Step 3: Cross multiply
    14,127.75x = 21,222 × 21,222
  4. Step 4: Simplify right side
    14,127.75x = 450,373,284
  5. Step 5: Solve for x
    x = 450,373,284/14,127.75
  6. Step 6: Final answer
    x = 31,878.63

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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.