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Finding the Third Proportional to 7,661.25 and 10,841.34

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Solution

The third proportional to 7,661.25 and 10,841.34 is: 15,341.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.25 : 10,841.34 = 10,841.34 : x
  2. Step 2: Convert to fraction form
    7,661.25/10,841.34 = 10,841.34/x
  3. Step 3: Cross multiply
    7,661.25x = 10,841.34 × 10,841.34
  4. Step 4: Simplify right side
    7,661.25x = 117,534,734.31
  5. Step 5: Solve for x
    x = 117,534,734.31/7,661.25
  6. Step 6: Final answer
    x = 15,341.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.