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Finding the Third Proportional to 11,211.94 and 23,585.63

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Solution

The third proportional to 11,211.94 and 23,585.63 is: 49,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.94 : 23,585.63 = 23,585.63 : x
  2. Step 2: Convert to fraction form
    11,211.94/23,585.63 = 23,585.63/x
  3. Step 3: Cross multiply
    11,211.94x = 23,585.63 × 23,585.63
  4. Step 4: Simplify right side
    11,211.94x = 556,281,706.64
  5. Step 5: Solve for x
    x = 556,281,706.64/11,211.94
  6. Step 6: Final answer
    x = 49,615.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.