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Finding the Third Proportional to 7,761 and 10,712.63

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Solution

The third proportional to 7,761 and 10,712.63 is: 14,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 10,712.63 = 10,712.63 : x
  2. Step 2: Convert to fraction form
    7,761/10,712.63 = 10,712.63/x
  3. Step 3: Cross multiply
    7,761x = 10,712.63 × 10,712.63
  4. Step 4: Simplify right side
    7,761x = 114,760,334.39
  5. Step 5: Solve for x
    x = 114,760,334.39/7,761
  6. Step 6: Final answer
    x = 14,786.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.