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Finding the Third Proportional to 12,080 and 28,220

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Solution

The third proportional to 12,080 and 28,220 is: 65,924.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,080 : 28,220 = 28,220 : x
  2. Step 2: Convert to fraction form
    12,080/28,220 = 28,220/x
  3. Step 3: Cross multiply
    12,080x = 28,220 × 28,220
  4. Step 4: Simplify right side
    12,080x = 796,368,400
  5. Step 5: Solve for x
    x = 796,368,400/12,080
  6. Step 6: Final answer
    x = 65,924.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.