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Finding the Third Proportional to 23,027.63 and 33,786

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Solution

The third proportional to 23,027.63 and 33,786 is: 49,570.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,027.63 : 33,786 = 33,786 : x
  2. Step 2: Convert to fraction form
    23,027.63/33,786 = 33,786/x
  3. Step 3: Cross multiply
    23,027.63x = 33,786 × 33,786
  4. Step 4: Simplify right side
    23,027.63x = 1,141,493,796
  5. Step 5: Solve for x
    x = 1,141,493,796/23,027.63
  6. Step 6: Final answer
    x = 49,570.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.