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Finding the Third Proportional to 6,036.75 and 14,109.75

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Solution

The third proportional to 6,036.75 and 14,109.75 is: 32,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.75 : 14,109.75 = 14,109.75 : x
  2. Step 2: Convert to fraction form
    6,036.75/14,109.75 = 14,109.75/x
  3. Step 3: Cross multiply
    6,036.75x = 14,109.75 × 14,109.75
  4. Step 4: Simplify right side
    6,036.75x = 199,085,045.06
  5. Step 5: Solve for x
    x = 199,085,045.06/6,036.75
  6. Step 6: Final answer
    x = 32,978.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.