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Finding the Third Proportional to 54,014.34 and 71,675.51

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Solution

The third proportional to 54,014.34 and 71,675.51 is: 95,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,014.34 : 71,675.51 = 71,675.51 : x
  2. Step 2: Convert to fraction form
    54,014.34/71,675.51 = 71,675.51/x
  3. Step 3: Cross multiply
    54,014.34x = 71,675.51 × 71,675.51
  4. Step 4: Simplify right side
    54,014.34x = 5,137,378,420.18
  5. Step 5: Solve for x
    x = 5,137,378,420.18/54,014.34
  6. Step 6: Final answer
    x = 95,111.37

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.