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Finding the Third Proportional to 1,586.25 and 3,706.88

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Solution

The third proportional to 1,586.25 and 3,706.88 is: 8,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.25 : 3,706.88 = 3,706.88 : x
  2. Step 2: Convert to fraction form
    1,586.25/3,706.88 = 3,706.88/x
  3. Step 3: Cross multiply
    1,586.25x = 3,706.88 × 3,706.88
  4. Step 4: Simplify right side
    1,586.25x = 13,740,922.27
  5. Step 5: Solve for x
    x = 13,740,922.27/1,586.25
  6. Step 6: Final answer
    x = 8,662.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.