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Finding the Third Proportional to 7,935.75 and 10,437.75

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Solution

The third proportional to 7,935.75 and 10,437.75 is: 13,728.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935.75 : 10,437.75 = 10,437.75 : x
  2. Step 2: Convert to fraction form
    7,935.75/10,437.75 = 10,437.75/x
  3. Step 3: Cross multiply
    7,935.75x = 10,437.75 × 10,437.75
  4. Step 4: Simplify right side
    7,935.75x = 108,946,625.06
  5. Step 5: Solve for x
    x = 108,946,625.06/7,935.75
  6. Step 6: Final answer
    x = 13,728.59

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.