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Finding the Third Proportional to 2,855.81 and 4,364.72

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Solution

The third proportional to 2,855.81 and 4,364.72 is: 6,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.81 : 4,364.72 = 4,364.72 : x
  2. Step 2: Convert to fraction form
    2,855.81/4,364.72 = 4,364.72/x
  3. Step 3: Cross multiply
    2,855.81x = 4,364.72 × 4,364.72
  4. Step 4: Simplify right side
    2,855.81x = 19,050,769.77
  5. Step 5: Solve for x
    x = 19,050,769.77/2,855.81
  6. Step 6: Final answer
    x = 6,670.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.