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Finding the Third Proportional to 8,256.94 and 12,387.94

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Solution

The third proportional to 8,256.94 and 12,387.94 is: 18,585.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.94 : 12,387.94 = 12,387.94 : x
  2. Step 2: Convert to fraction form
    8,256.94/12,387.94 = 12,387.94/x
  3. Step 3: Cross multiply
    8,256.94x = 12,387.94 × 12,387.94
  4. Step 4: Simplify right side
    8,256.94x = 153,460,995.50
  5. Step 5: Solve for x
    x = 153,460,995.50/8,256.94
  6. Step 6: Final answer
    x = 18,585.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.