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Finding the Third Proportional to 5,586.75 and 8,893.69

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Solution

The third proportional to 5,586.75 and 8,893.69 is: 14,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.75 : 8,893.69 = 8,893.69 : x
  2. Step 2: Convert to fraction form
    5,586.75/8,893.69 = 8,893.69/x
  3. Step 3: Cross multiply
    5,586.75x = 8,893.69 × 8,893.69
  4. Step 4: Simplify right side
    5,586.75x = 79,097,677.35
  5. Step 5: Solve for x
    x = 79,097,677.35/5,586.75
  6. Step 6: Final answer
    x = 14,158.08

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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.