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Finding the Third Proportional to 25,496.44 and 39,576.94

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Solution

The third proportional to 25,496.44 and 39,576.94 is: 61,433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.44 : 39,576.94 = 39,576.94 : x
  2. Step 2: Convert to fraction form
    25,496.44/39,576.94 = 39,576.94/x
  3. Step 3: Cross multiply
    25,496.44x = 39,576.94 × 39,576.94
  4. Step 4: Simplify right side
    25,496.44x = 1,566,333,981.88
  5. Step 5: Solve for x
    x = 1,566,333,981.88/25,496.44
  6. Step 6: Final answer
    x = 61,433.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.