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Finding the Third Proportional to 8,889.75 and 13,856.06

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Solution

The third proportional to 8,889.75 and 13,856.06 is: 21,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,889.75 : 13,856.06 = 13,856.06 : x
  2. Step 2: Convert to fraction form
    8,889.75/13,856.06 = 13,856.06/x
  3. Step 3: Cross multiply
    8,889.75x = 13,856.06 × 13,856.06
  4. Step 4: Simplify right side
    8,889.75x = 191,990,468.00
  5. Step 5: Solve for x
    x = 191,990,468.00/8,889.75
  6. Step 6: Final answer
    x = 21,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.