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Finding the Third Proportional to 4,575.75 and 5,927.63

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Solution

The third proportional to 4,575.75 and 5,927.63 is: 7,678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.75 : 5,927.63 = 5,927.63 : x
  2. Step 2: Convert to fraction form
    4,575.75/5,927.63 = 5,927.63/x
  3. Step 3: Cross multiply
    4,575.75x = 5,927.63 × 5,927.63
  4. Step 4: Simplify right side
    4,575.75x = 35,136,738.14
  5. Step 5: Solve for x
    x = 35,136,738.14/4,575.75
  6. Step 6: Final answer
    x = 7,678.90

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.