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Finding the Third Proportional to 1,519.31 and 2,159.72

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Solution

The third proportional to 1,519.31 and 2,159.72 is: 3,070.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.31 : 2,159.72 = 2,159.72 : x
  2. Step 2: Convert to fraction form
    1,519.31/2,159.72 = 2,159.72/x
  3. Step 3: Cross multiply
    1,519.31x = 2,159.72 × 2,159.72
  4. Step 4: Simplify right side
    1,519.31x = 4,664,385.08
  5. Step 5: Solve for x
    x = 4,664,385.08/1,519.31
  6. Step 6: Final answer
    x = 3,070.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.