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Finding the Third Proportional to 7,698.88 and 10,726.44

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Solution

The third proportional to 7,698.88 and 10,726.44 is: 14,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.88 : 10,726.44 = 10,726.44 : x
  2. Step 2: Convert to fraction form
    7,698.88/10,726.44 = 10,726.44/x
  3. Step 3: Cross multiply
    7,698.88x = 10,726.44 × 10,726.44
  4. Step 4: Simplify right side
    7,698.88x = 115,056,461.44
  5. Step 5: Solve for x
    x = 115,056,461.44/7,698.88
  6. Step 6: Final answer
    x = 14,944.58

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.