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Finding the Third Proportional to 11,698 and 25,858

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Solution

The third proportional to 11,698 and 25,858 is: 57,158.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698 : 25,858 = 25,858 : x
  2. Step 2: Convert to fraction form
    11,698/25,858 = 25,858/x
  3. Step 3: Cross multiply
    11,698x = 25,858 × 25,858
  4. Step 4: Simplify right side
    11,698x = 668,636,164
  5. Step 5: Solve for x
    x = 668,636,164/11,698
  6. Step 6: Final answer
    x = 57,158.16

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.