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Finding the Third Proportional to 1,719.98 and 2,845.76

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Solution

The third proportional to 1,719.98 and 2,845.76 is: 4,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.98 : 2,845.76 = 2,845.76 : x
  2. Step 2: Convert to fraction form
    1,719.98/2,845.76 = 2,845.76/x
  3. Step 3: Cross multiply
    1,719.98x = 2,845.76 × 2,845.76
  4. Step 4: Simplify right side
    1,719.98x = 8,098,337.53
  5. Step 5: Solve for x
    x = 8,098,337.53/1,719.98
  6. Step 6: Final answer
    x = 4,708.38

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.