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Finding the Third Proportional to 2,777.63 and 5,114.81

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Solution

The third proportional to 2,777.63 and 5,114.81 is: 9,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.63 : 5,114.81 = 5,114.81 : x
  2. Step 2: Convert to fraction form
    2,777.63/5,114.81 = 5,114.81/x
  3. Step 3: Cross multiply
    2,777.63x = 5,114.81 × 5,114.81
  4. Step 4: Simplify right side
    2,777.63x = 26,161,306.91
  5. Step 5: Solve for x
    x = 26,161,306.91/2,777.63
  6. Step 6: Final answer
    x = 9,418.59

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.