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Finding the Third Proportional to 12,284 and 14,444

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Solution

The third proportional to 12,284 and 14,444 is: 16,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,284 : 14,444 = 14,444 : x
  2. Step 2: Convert to fraction form
    12,284/14,444 = 14,444/x
  3. Step 3: Cross multiply
    12,284x = 14,444 × 14,444
  4. Step 4: Simplify right side
    12,284x = 208,629,136
  5. Step 5: Solve for x
    x = 208,629,136/12,284
  6. Step 6: Final answer
    x = 16,983.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.