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Finding the Third Proportional to 5,804.95 and 8,720.24

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Solution

The third proportional to 5,804.95 and 8,720.24 is: 13,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,804.95 : 8,720.24 = 8,720.24 : x
  2. Step 2: Convert to fraction form
    5,804.95/8,720.24 = 8,720.24/x
  3. Step 3: Cross multiply
    5,804.95x = 8,720.24 × 8,720.24
  4. Step 4: Simplify right side
    5,804.95x = 76,042,504.59
  5. Step 5: Solve for x
    x = 76,042,504.59/5,804.95
  6. Step 6: Final answer
    x = 13,099.60

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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.