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Finding the Third Proportional to 7,703.75 and 11,008.75

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Solution

The third proportional to 7,703.75 and 11,008.75 is: 15,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.75 : 11,008.75 = 11,008.75 : x
  2. Step 2: Convert to fraction form
    7,703.75/11,008.75 = 11,008.75/x
  3. Step 3: Cross multiply
    7,703.75x = 11,008.75 × 11,008.75
  4. Step 4: Simplify right side
    7,703.75x = 121,192,576.56
  5. Step 5: Solve for x
    x = 121,192,576.56/7,703.75
  6. Step 6: Final answer
    x = 15,731.63

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.