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Finding the Third Proportional to 5,586.75 and 8,654.06

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Solution

The third proportional to 5,586.75 and 8,654.06 is: 13,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.75 : 8,654.06 = 8,654.06 : x
  2. Step 2: Convert to fraction form
    5,586.75/8,654.06 = 8,654.06/x
  3. Step 3: Cross multiply
    5,586.75x = 8,654.06 × 8,654.06
  4. Step 4: Simplify right side
    5,586.75x = 74,892,797.75
  5. Step 5: Solve for x
    x = 74,892,797.75/5,586.75
  6. Step 6: Final answer
    x = 13,405.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.