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Finding the Third Proportional to 3,081.80 and 6,547.55

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Solution

The third proportional to 3,081.80 and 6,547.55 is: 13,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.80 : 6,547.55 = 6,547.55 : x
  2. Step 2: Convert to fraction form
    3,081.80/6,547.55 = 6,547.55/x
  3. Step 3: Cross multiply
    3,081.80x = 6,547.55 × 6,547.55
  4. Step 4: Simplify right side
    3,081.80x = 42,870,446.81
  5. Step 5: Solve for x
    x = 42,870,446.81/3,081.80
  6. Step 6: Final answer
    x = 13,910.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.