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Finding the Third Proportional to 8,589.75 and 12,577.50

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Solution

The third proportional to 8,589.75 and 12,577.50 is: 18,416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.75 : 12,577.50 = 12,577.50 : x
  2. Step 2: Convert to fraction form
    8,589.75/12,577.50 = 12,577.50/x
  3. Step 3: Cross multiply
    8,589.75x = 12,577.50 × 12,577.50
  4. Step 4: Simplify right side
    8,589.75x = 158,193,506.25
  5. Step 5: Solve for x
    x = 158,193,506.25/8,589.75
  6. Step 6: Final answer
    x = 18,416.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.