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Finding the Third Proportional to 5,900.24 and 12,483.81

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Solution

The third proportional to 5,900.24 and 12,483.81 is: 26,413.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,900.24 : 12,483.81 = 12,483.81 : x
  2. Step 2: Convert to fraction form
    5,900.24/12,483.81 = 12,483.81/x
  3. Step 3: Cross multiply
    5,900.24x = 12,483.81 × 12,483.81
  4. Step 4: Simplify right side
    5,900.24x = 155,845,477.01
  5. Step 5: Solve for x
    x = 155,845,477.01/5,900.24
  6. Step 6: Final answer
    x = 26,413.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.