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Finding the Third Proportional to 6,093.04 and 13,284.32

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Solution

The third proportional to 6,093.04 and 13,284.32 is: 28,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.04 : 13,284.32 = 13,284.32 : x
  2. Step 2: Convert to fraction form
    6,093.04/13,284.32 = 13,284.32/x
  3. Step 3: Cross multiply
    6,093.04x = 13,284.32 × 13,284.32
  4. Step 4: Simplify right side
    6,093.04x = 176,473,062.38
  5. Step 5: Solve for x
    x = 176,473,062.38/6,093.04
  6. Step 6: Final answer
    x = 28,963.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.