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Finding the Third Proportional to 5,765.63 and 11,750.63

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Solution

The third proportional to 5,765.63 and 11,750.63 is: 23,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,765.63 : 11,750.63 = 11,750.63 : x
  2. Step 2: Convert to fraction form
    5,765.63/11,750.63 = 11,750.63/x
  3. Step 3: Cross multiply
    5,765.63x = 11,750.63 × 11,750.63
  4. Step 4: Simplify right side
    5,765.63x = 138,077,187.89
  5. Step 5: Solve for x
    x = 138,077,187.89/5,765.63
  6. Step 6: Final answer
    x = 23,948.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.