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Finding the Third Proportional to 6,069.78 and 8,871.87

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Solution

The third proportional to 6,069.78 and 8,871.87 is: 12,967.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.78 : 8,871.87 = 8,871.87 : x
  2. Step 2: Convert to fraction form
    6,069.78/8,871.87 = 8,871.87/x
  3. Step 3: Cross multiply
    6,069.78x = 8,871.87 × 8,871.87
  4. Step 4: Simplify right side
    6,069.78x = 78,710,131.36
  5. Step 5: Solve for x
    x = 78,710,131.36/6,069.78
  6. Step 6: Final answer
    x = 12,967.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.