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Finding the Third Proportional to 1,893.94 and 2,159.72

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Solution

The third proportional to 1,893.94 and 2,159.72 is: 2,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.94 : 2,159.72 = 2,159.72 : x
  2. Step 2: Convert to fraction form
    1,893.94/2,159.72 = 2,159.72/x
  3. Step 3: Cross multiply
    1,893.94x = 2,159.72 × 2,159.72
  4. Step 4: Simplify right side
    1,893.94x = 4,664,385.08
  5. Step 5: Solve for x
    x = 4,664,385.08/1,893.94
  6. Step 6: Final answer
    x = 2,462.80

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.