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Finding the Third Proportional to 5,115.75 and 7,505.75

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Solution

The third proportional to 5,115.75 and 7,505.75 is: 11,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.75 : 7,505.75 = 7,505.75 : x
  2. Step 2: Convert to fraction form
    5,115.75/7,505.75 = 7,505.75/x
  3. Step 3: Cross multiply
    5,115.75x = 7,505.75 × 7,505.75
  4. Step 4: Simplify right side
    5,115.75x = 56,336,283.06
  5. Step 5: Solve for x
    x = 56,336,283.06/5,115.75
  6. Step 6: Final answer
    x = 11,012.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.