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Finding the Third Proportional to 7,812.75 and 17,054.63

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Solution

The third proportional to 7,812.75 and 17,054.63 is: 37,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.75 : 17,054.63 = 17,054.63 : x
  2. Step 2: Convert to fraction form
    7,812.75/17,054.63 = 17,054.63/x
  3. Step 3: Cross multiply
    7,812.75x = 17,054.63 × 17,054.63
  4. Step 4: Simplify right side
    7,812.75x = 290,860,233.89
  5. Step 5: Solve for x
    x = 290,860,233.89/7,812.75
  6. Step 6: Final answer
    x = 37,228.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.