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Finding the Third Proportional to 6,079.64 and 13,097.32

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Solution

The third proportional to 6,079.64 and 13,097.32 is: 28,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,079.64 : 13,097.32 = 13,097.32 : x
  2. Step 2: Convert to fraction form
    6,079.64/13,097.32 = 13,097.32/x
  3. Step 3: Cross multiply
    6,079.64x = 13,097.32 × 13,097.32
  4. Step 4: Simplify right side
    6,079.64x = 171,539,799.37
  5. Step 5: Solve for x
    x = 171,539,799.37/6,079.64
  6. Step 6: Final answer
    x = 28,215.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.