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Finding the Third Proportional to 12,052 and 29,024

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Solution

The third proportional to 12,052 and 29,024 is: 69,896.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,052 : 29,024 = 29,024 : x
  2. Step 2: Convert to fraction form
    12,052/29,024 = 29,024/x
  3. Step 3: Cross multiply
    12,052x = 29,024 × 29,024
  4. Step 4: Simplify right side
    12,052x = 842,392,576
  5. Step 5: Solve for x
    x = 842,392,576/12,052
  6. Step 6: Final answer
    x = 69,896.50

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.