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Finding the Third Proportional to 2,181.94 and 3,242.53

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Solution

The third proportional to 2,181.94 and 3,242.53 is: 4,818.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.94 : 3,242.53 = 3,242.53 : x
  2. Step 2: Convert to fraction form
    2,181.94/3,242.53 = 3,242.53/x
  3. Step 3: Cross multiply
    2,181.94x = 3,242.53 × 3,242.53
  4. Step 4: Simplify right side
    2,181.94x = 10,514,008.91
  5. Step 5: Solve for x
    x = 10,514,008.91/2,181.94
  6. Step 6: Final answer
    x = 4,818.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.