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Finding the Third Proportional to 4,047.75 and 6,100.88

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Solution

The third proportional to 4,047.75 and 6,100.88 is: 9,195.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.75 : 6,100.88 = 6,100.88 : x
  2. Step 2: Convert to fraction form
    4,047.75/6,100.88 = 6,100.88/x
  3. Step 3: Cross multiply
    4,047.75x = 6,100.88 × 6,100.88
  4. Step 4: Simplify right side
    4,047.75x = 37,220,675.77
  5. Step 5: Solve for x
    x = 37,220,675.77/4,047.75
  6. Step 6: Final answer
    x = 9,195.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.