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Finding the Third Proportional to 4,731.75 and 7,225.88

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Solution

The third proportional to 4,731.75 and 7,225.88 is: 11,034.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.75 : 7,225.88 = 7,225.88 : x
  2. Step 2: Convert to fraction form
    4,731.75/7,225.88 = 7,225.88/x
  3. Step 3: Cross multiply
    4,731.75x = 7,225.88 × 7,225.88
  4. Step 4: Simplify right side
    4,731.75x = 52,213,269.52
  5. Step 5: Solve for x
    x = 52,213,269.52/4,731.75
  6. Step 6: Final answer
    x = 11,034.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.