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Finding the Third Proportional to 12,827 and 28,024

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Solution

The third proportional to 12,827 and 28,024 is: 61,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,827 : 28,024 = 28,024 : x
  2. Step 2: Convert to fraction form
    12,827/28,024 = 28,024/x
  3. Step 3: Cross multiply
    12,827x = 28,024 × 28,024
  4. Step 4: Simplify right side
    12,827x = 785,344,576
  5. Step 5: Solve for x
    x = 785,344,576/12,827
  6. Step 6: Final answer
    x = 61,225.90

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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.