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Finding the Third Proportional to 5,298.75 and 8,745.19

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Solution

The third proportional to 5,298.75 and 8,745.19 is: 14,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298.75 : 8,745.19 = 8,745.19 : x
  2. Step 2: Convert to fraction form
    5,298.75/8,745.19 = 8,745.19/x
  3. Step 3: Cross multiply
    5,298.75x = 8,745.19 × 8,745.19
  4. Step 4: Simplify right side
    5,298.75x = 76,478,304.41
  5. Step 5: Solve for x
    x = 76,478,304.41/5,298.75
  6. Step 6: Final answer
    x = 14,433.27

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.