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Finding the Third Proportional to 1,214.57 and 2,648.99

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Solution

The third proportional to 1,214.57 and 2,648.99 is: 5,777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.57 : 2,648.99 = 2,648.99 : x
  2. Step 2: Convert to fraction form
    1,214.57/2,648.99 = 2,648.99/x
  3. Step 3: Cross multiply
    1,214.57x = 2,648.99 × 2,648.99
  4. Step 4: Simplify right side
    1,214.57x = 7,017,136.00
  5. Step 5: Solve for x
    x = 7,017,136.00/1,214.57
  6. Step 6: Final answer
    x = 5,777.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.