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Finding the Third Proportional to 8,159.63 and 12,409.88

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Solution

The third proportional to 8,159.63 and 12,409.88 is: 18,874.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.63 : 12,409.88 = 12,409.88 : x
  2. Step 2: Convert to fraction form
    8,159.63/12,409.88 = 12,409.88/x
  3. Step 3: Cross multiply
    8,159.63x = 12,409.88 × 12,409.88
  4. Step 4: Simplify right side
    8,159.63x = 154,004,997.52
  5. Step 5: Solve for x
    x = 154,004,997.52/8,159.63
  6. Step 6: Final answer
    x = 18,874.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.