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Finding the Third Proportional to 7,764.75 and 10,252.13

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Solution

The third proportional to 7,764.75 and 10,252.13 is: 13,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764.75 : 10,252.13 = 10,252.13 : x
  2. Step 2: Convert to fraction form
    7,764.75/10,252.13 = 10,252.13/x
  3. Step 3: Cross multiply
    7,764.75x = 10,252.13 × 10,252.13
  4. Step 4: Simplify right side
    7,764.75x = 105,106,067.02
  5. Step 5: Solve for x
    x = 105,106,067.02/7,764.75
  6. Step 6: Final answer
    x = 13,536.31

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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.