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Finding the Third Proportional to 5,422.50 and 8,529.75

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Solution

The third proportional to 5,422.50 and 8,529.75 is: 13,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,422.50 : 8,529.75 = 8,529.75 : x
  2. Step 2: Convert to fraction form
    5,422.50/8,529.75 = 8,529.75/x
  3. Step 3: Cross multiply
    5,422.50x = 8,529.75 × 8,529.75
  4. Step 4: Simplify right side
    5,422.50x = 72,756,635.06
  5. Step 5: Solve for x
    x = 72,756,635.06/5,422.50
  6. Step 6: Final answer
    x = 13,417.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.