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Finding the Third Proportional to 1,677.94 and 3,598.88

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Solution

The third proportional to 1,677.94 and 3,598.88 is: 7,718.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.94 : 3,598.88 = 3,598.88 : x
  2. Step 2: Convert to fraction form
    1,677.94/3,598.88 = 3,598.88/x
  3. Step 3: Cross multiply
    1,677.94x = 3,598.88 × 3,598.88
  4. Step 4: Simplify right side
    1,677.94x = 12,951,901.27
  5. Step 5: Solve for x
    x = 12,951,901.27/1,677.94
  6. Step 6: Final answer
    x = 7,718.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.