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Finding the Third Proportional to 5,042.75 and 10,777.75

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Solution

The third proportional to 5,042.75 and 10,777.75 is: 23,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,042.75 : 10,777.75 = 10,777.75 : x
  2. Step 2: Convert to fraction form
    5,042.75/10,777.75 = 10,777.75/x
  3. Step 3: Cross multiply
    5,042.75x = 10,777.75 × 10,777.75
  4. Step 4: Simplify right side
    5,042.75x = 116,159,895.06
  5. Step 5: Solve for x
    x = 116,159,895.06/5,042.75
  6. Step 6: Final answer
    x = 23,035.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.