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Finding the Third Proportional to 12,768 and 28,002

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Solution

The third proportional to 12,768 and 28,002 is: 61,412.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,768 : 28,002 = 28,002 : x
  2. Step 2: Convert to fraction form
    12,768/28,002 = 28,002/x
  3. Step 3: Cross multiply
    12,768x = 28,002 × 28,002
  4. Step 4: Simplify right side
    12,768x = 784,112,004
  5. Step 5: Solve for x
    x = 784,112,004/12,768
  6. Step 6: Final answer
    x = 61,412.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.