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Finding the Third Proportional to 5,637.45 and 12,235.57

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Solution

The third proportional to 5,637.45 and 12,235.57 is: 26,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.45 : 12,235.57 = 12,235.57 : x
  2. Step 2: Convert to fraction form
    5,637.45/12,235.57 = 12,235.57/x
  3. Step 3: Cross multiply
    5,637.45x = 12,235.57 × 12,235.57
  4. Step 4: Simplify right side
    5,637.45x = 149,709,180.87
  5. Step 5: Solve for x
    x = 149,709,180.87/5,637.45
  6. Step 6: Final answer
    x = 26,556.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.