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Finding the Third Proportional to 1,699.31 and 2,626.45

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Solution

The third proportional to 1,699.31 and 2,626.45 is: 4,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.31 : 2,626.45 = 2,626.45 : x
  2. Step 2: Convert to fraction form
    1,699.31/2,626.45 = 2,626.45/x
  3. Step 3: Cross multiply
    1,699.31x = 2,626.45 × 2,626.45
  4. Step 4: Simplify right side
    1,699.31x = 6,898,256.02
  5. Step 5: Solve for x
    x = 6,898,256.02/1,699.31
  6. Step 6: Final answer
    x = 4,059.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.