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Finding the Third Proportional to 34,456 and 45,932

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Solution

The third proportional to 34,456 and 45,932 is: 61,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456 : 45,932 = 45,932 : x
  2. Step 2: Convert to fraction form
    34,456/45,932 = 45,932/x
  3. Step 3: Cross multiply
    34,456x = 45,932 × 45,932
  4. Step 4: Simplify right side
    34,456x = 2,109,748,624
  5. Step 5: Solve for x
    x = 2,109,748,624/34,456
  6. Step 6: Final answer
    x = 61,230.22

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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.