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Finding the Third Proportional to 18,106.88 and 27,698.63

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Solution

The third proportional to 18,106.88 and 27,698.63 is: 42,371.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,106.88 : 27,698.63 = 27,698.63 : x
  2. Step 2: Convert to fraction form
    18,106.88/27,698.63 = 27,698.63/x
  3. Step 3: Cross multiply
    18,106.88x = 27,698.63 × 27,698.63
  4. Step 4: Simplify right side
    18,106.88x = 767,213,826.89
  5. Step 5: Solve for x
    x = 767,213,826.89/18,106.88
  6. Step 6: Final answer
    x = 42,371.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.