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Finding the Third Proportional to 6,279 and 10,036.50

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Solution

The third proportional to 6,279 and 10,036.50 is: 16,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279 : 10,036.50 = 10,036.50 : x
  2. Step 2: Convert to fraction form
    6,279/10,036.50 = 10,036.50/x
  3. Step 3: Cross multiply
    6,279x = 10,036.50 × 10,036.50
  4. Step 4: Simplify right side
    6,279x = 100,731,332.25
  5. Step 5: Solve for x
    x = 100,731,332.25/6,279
  6. Step 6: Final answer
    x = 16,042.58

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.