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Finding the Third Proportional to 6,367.13 and 13,554.38

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Solution

The third proportional to 6,367.13 and 13,554.38 is: 28,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.13 : 13,554.38 = 13,554.38 : x
  2. Step 2: Convert to fraction form
    6,367.13/13,554.38 = 13,554.38/x
  3. Step 3: Cross multiply
    6,367.13x = 13,554.38 × 13,554.38
  4. Step 4: Simplify right side
    6,367.13x = 183,721,081.64
  5. Step 5: Solve for x
    x = 183,721,081.64/6,367.13
  6. Step 6: Final answer
    x = 28,854.64

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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.