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Finding the Third Proportional to 5,893.59 and 8,840.39

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Solution

The third proportional to 5,893.59 and 8,840.39 is: 13,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,893.59 : 8,840.39 = 8,840.39 : x
  2. Step 2: Convert to fraction form
    5,893.59/8,840.39 = 8,840.39/x
  3. Step 3: Cross multiply
    5,893.59x = 8,840.39 × 8,840.39
  4. Step 4: Simplify right side
    5,893.59x = 78,152,506.40
  5. Step 5: Solve for x
    x = 78,152,506.40/5,893.59
  6. Step 6: Final answer
    x = 13,260.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.