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Finding the Third Proportional to 5,617.79 and 12,292.54

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Solution

The third proportional to 5,617.79 and 12,292.54 is: 26,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.79 : 12,292.54 = 12,292.54 : x
  2. Step 2: Convert to fraction form
    5,617.79/12,292.54 = 12,292.54/x
  3. Step 3: Cross multiply
    5,617.79x = 12,292.54 × 12,292.54
  4. Step 4: Simplify right side
    5,617.79x = 151,106,564.62
  5. Step 5: Solve for x
    x = 151,106,564.62/5,617.79
  6. Step 6: Final answer
    x = 26,897.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.