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Finding the Third Proportional to 6,859.69 and 13,582.69

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Solution

The third proportional to 6,859.69 and 13,582.69 is: 26,894.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859.69 : 13,582.69 = 13,582.69 : x
  2. Step 2: Convert to fraction form
    6,859.69/13,582.69 = 13,582.69/x
  3. Step 3: Cross multiply
    6,859.69x = 13,582.69 × 13,582.69
  4. Step 4: Simplify right side
    6,859.69x = 184,489,399.72
  5. Step 5: Solve for x
    x = 184,489,399.72/6,859.69
  6. Step 6: Final answer
    x = 26,894.72

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These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.