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Finding the Third Proportional to 5,460.19 and 11,698.59

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Solution

The third proportional to 5,460.19 and 11,698.59 is: 25,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.19 : 11,698.59 = 11,698.59 : x
  2. Step 2: Convert to fraction form
    5,460.19/11,698.59 = 11,698.59/x
  3. Step 3: Cross multiply
    5,460.19x = 11,698.59 × 11,698.59
  4. Step 4: Simplify right side
    5,460.19x = 136,857,095.73
  5. Step 5: Solve for x
    x = 136,857,095.73/5,460.19
  6. Step 6: Final answer
    x = 25,064.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.