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Finding the Third Proportional to 10,960.31 and 16,577.16

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Solution

The third proportional to 10,960.31 and 16,577.16 is: 25,072.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.31 : 16,577.16 = 16,577.16 : x
  2. Step 2: Convert to fraction form
    10,960.31/16,577.16 = 16,577.16/x
  3. Step 3: Cross multiply
    10,960.31x = 16,577.16 × 16,577.16
  4. Step 4: Simplify right side
    10,960.31x = 274,802,109.34
  5. Step 5: Solve for x
    x = 274,802,109.34/10,960.31
  6. Step 6: Final answer
    x = 25,072.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.