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Finding the Third Proportional to 25,564.78 and 54,683.44

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Solution

The third proportional to 25,564.78 and 54,683.44 is: 116,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,564.78 : 54,683.44 = 54,683.44 : x
  2. Step 2: Convert to fraction form
    25,564.78/54,683.44 = 54,683.44/x
  3. Step 3: Cross multiply
    25,564.78x = 54,683.44 × 54,683.44
  4. Step 4: Simplify right side
    25,564.78x = 2,990,278,336.82
  5. Step 5: Solve for x
    x = 2,990,278,336.82/25,564.78
  6. Step 6: Final answer
    x = 116,968.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.