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Finding the Third Proportional to 12,820 and 28,010

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Solution

The third proportional to 12,820 and 28,010 is: 61,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820 : 28,010 = 28,010 : x
  2. Step 2: Convert to fraction form
    12,820/28,010 = 28,010/x
  3. Step 3: Cross multiply
    12,820x = 28,010 × 28,010
  4. Step 4: Simplify right side
    12,820x = 784,560,100
  5. Step 5: Solve for x
    x = 784,560,100/12,820
  6. Step 6: Final answer
    x = 61,198.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.