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Finding the Third Proportional to 6,426.56 and 13,671.56

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Solution

The third proportional to 6,426.56 and 13,671.56 is: 29,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.56 : 13,671.56 = 13,671.56 : x
  2. Step 2: Convert to fraction form
    6,426.56/13,671.56 = 13,671.56/x
  3. Step 3: Cross multiply
    6,426.56x = 13,671.56 × 13,671.56
  4. Step 4: Simplify right side
    6,426.56x = 186,911,621.19
  5. Step 5: Solve for x
    x = 186,911,621.19/6,426.56
  6. Step 6: Final answer
    x = 29,084.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.