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Finding the Third Proportional to 5,927.67 and 12,403.36

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Solution

The third proportional to 5,927.67 and 12,403.36 is: 25,953.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.67 : 12,403.36 = 12,403.36 : x
  2. Step 2: Convert to fraction form
    5,927.67/12,403.36 = 12,403.36/x
  3. Step 3: Cross multiply
    5,927.67x = 12,403.36 × 12,403.36
  4. Step 4: Simplify right side
    5,927.67x = 153,843,323.79
  5. Step 5: Solve for x
    x = 153,843,323.79/5,927.67
  6. Step 6: Final answer
    x = 25,953.41

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.