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Finding the Third Proportional to 12,024 and 14,220

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Solution

The third proportional to 12,024 and 14,220 is: 16,817.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 14,220 = 14,220 : x
  2. Step 2: Convert to fraction form
    12,024/14,220 = 14,220/x
  3. Step 3: Cross multiply
    12,024x = 14,220 × 14,220
  4. Step 4: Simplify right side
    12,024x = 202,208,400
  5. Step 5: Solve for x
    x = 202,208,400/12,024
  6. Step 6: Final answer
    x = 16,817.07

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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.