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Finding the Third Proportional to 8,604.75 and 13,690.50

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Solution

The third proportional to 8,604.75 and 13,690.50 is: 21,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,604.75 : 13,690.50 = 13,690.50 : x
  2. Step 2: Convert to fraction form
    8,604.75/13,690.50 = 13,690.50/x
  3. Step 3: Cross multiply
    8,604.75x = 13,690.50 × 13,690.50
  4. Step 4: Simplify right side
    8,604.75x = 187,429,790.25
  5. Step 5: Solve for x
    x = 187,429,790.25/8,604.75
  6. Step 6: Final answer
    x = 21,782.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.