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Finding the Third Proportional to 6,009 and 13,798.50

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Solution

The third proportional to 6,009 and 13,798.50 is: 31,685.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009 : 13,798.50 = 13,798.50 : x
  2. Step 2: Convert to fraction form
    6,009/13,798.50 = 13,798.50/x
  3. Step 3: Cross multiply
    6,009x = 13,798.50 × 13,798.50
  4. Step 4: Simplify right side
    6,009x = 190,398,602.25
  5. Step 5: Solve for x
    x = 190,398,602.25/6,009
  6. Step 6: Final answer
    x = 31,685.57

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.