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Finding the Third Proportional to 8,644.50 and 11,886.75

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Solution

The third proportional to 8,644.50 and 11,886.75 is: 16,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,644.50 : 11,886.75 = 11,886.75 : x
  2. Step 2: Convert to fraction form
    8,644.50/11,886.75 = 11,886.75/x
  3. Step 3: Cross multiply
    8,644.50x = 11,886.75 × 11,886.75
  4. Step 4: Simplify right side
    8,644.50x = 141,294,825.56
  5. Step 5: Solve for x
    x = 141,294,825.56/8,644.50
  6. Step 6: Final answer
    x = 16,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.