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Finding the Third Proportional to 12,852 and 29,749.63

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Solution

The third proportional to 12,852 and 29,749.63 is: 68,864.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852 : 29,749.63 = 29,749.63 : x
  2. Step 2: Convert to fraction form
    12,852/29,749.63 = 29,749.63/x
  3. Step 3: Cross multiply
    12,852x = 29,749.63 × 29,749.63
  4. Step 4: Simplify right side
    12,852x = 885,040,187.64
  5. Step 5: Solve for x
    x = 885,040,187.64/12,852
  6. Step 6: Final answer
    x = 68,864.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.