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Finding the Third Proportional to 45,672 and 71,663.25

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Solution

The third proportional to 45,672 and 71,663.25 is: 112,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,672 : 71,663.25 = 71,663.25 : x
  2. Step 2: Convert to fraction form
    45,672/71,663.25 = 71,663.25/x
  3. Step 3: Cross multiply
    45,672x = 71,663.25 × 71,663.25
  4. Step 4: Simplify right side
    45,672x = 5,135,621,400.56
  5. Step 5: Solve for x
    x = 5,135,621,400.56/45,672
  6. Step 6: Final answer
    x = 112,445.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.