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Finding the Third Proportional to 3,798 and 7,898.63

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Solution

The third proportional to 3,798 and 7,898.63 is: 16,426.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798 : 7,898.63 = 7,898.63 : x
  2. Step 2: Convert to fraction form
    3,798/7,898.63 = 7,898.63/x
  3. Step 3: Cross multiply
    3,798x = 7,898.63 × 7,898.63
  4. Step 4: Simplify right side
    3,798x = 62,388,276.89
  5. Step 5: Solve for x
    x = 62,388,276.89/3,798
  6. Step 6: Final answer
    x = 16,426.61

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.