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Finding the Third Proportional to 6,939.19 and 15,262.50

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Solution

The third proportional to 6,939.19 and 15,262.50 is: 33,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.19 : 15,262.50 = 15,262.50 : x
  2. Step 2: Convert to fraction form
    6,939.19/15,262.50 = 15,262.50/x
  3. Step 3: Cross multiply
    6,939.19x = 15,262.50 × 15,262.50
  4. Step 4: Simplify right side
    6,939.19x = 232,943,906.25
  5. Step 5: Solve for x
    x = 232,943,906.25/6,939.19
  6. Step 6: Final answer
    x = 33,569.33

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.