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Finding the Third Proportional to 7,901.56 and 16,974.63

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Solution

The third proportional to 7,901.56 and 16,974.63 is: 36,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.56 : 16,974.63 = 16,974.63 : x
  2. Step 2: Convert to fraction form
    7,901.56/16,974.63 = 16,974.63/x
  3. Step 3: Cross multiply
    7,901.56x = 16,974.63 × 16,974.63
  4. Step 4: Simplify right side
    7,901.56x = 288,137,893.89
  5. Step 5: Solve for x
    x = 288,137,893.89/7,901.56
  6. Step 6: Final answer
    x = 36,465.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.