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Finding the Third Proportional to 6,182.06 and 13,746.19

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Solution

The third proportional to 6,182.06 and 13,746.19 is: 30,565.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.06 : 13,746.19 = 13,746.19 : x
  2. Step 2: Convert to fraction form
    6,182.06/13,746.19 = 13,746.19/x
  3. Step 3: Cross multiply
    6,182.06x = 13,746.19 × 13,746.19
  4. Step 4: Simplify right side
    6,182.06x = 188,957,670.79
  5. Step 5: Solve for x
    x = 188,957,670.79/6,182.06
  6. Step 6: Final answer
    x = 30,565.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.