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Finding the Third Proportional to 4,528.75 and 6,094.88

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Solution

The third proportional to 4,528.75 and 6,094.88 is: 8,202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,528.75 : 6,094.88 = 6,094.88 : x
  2. Step 2: Convert to fraction form
    4,528.75/6,094.88 = 6,094.88/x
  3. Step 3: Cross multiply
    4,528.75x = 6,094.88 × 6,094.88
  4. Step 4: Simplify right side
    4,528.75x = 37,147,501.27
  5. Step 5: Solve for x
    x = 37,147,501.27/4,528.75
  6. Step 6: Final answer
    x = 8,202.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.