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Finding the Third Proportional to 4,021.88 and 6,256.13

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Solution

The third proportional to 4,021.88 and 6,256.13 is: 9,731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,021.88 : 6,256.13 = 6,256.13 : x
  2. Step 2: Convert to fraction form
    4,021.88/6,256.13 = 6,256.13/x
  3. Step 3: Cross multiply
    4,021.88x = 6,256.13 × 6,256.13
  4. Step 4: Simplify right side
    4,021.88x = 39,139,100.02
  5. Step 5: Solve for x
    x = 39,139,100.02/4,021.88
  6. Step 6: Final answer
    x = 9,731.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.