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Finding the Third Proportional to 32,011 and 45,950

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Solution

The third proportional to 32,011 and 45,950 is: 65,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011 : 45,950 = 45,950 : x
  2. Step 2: Convert to fraction form
    32,011/45,950 = 45,950/x
  3. Step 3: Cross multiply
    32,011x = 45,950 × 45,950
  4. Step 4: Simplify right side
    32,011x = 2,111,402,500
  5. Step 5: Solve for x
    x = 2,111,402,500/32,011
  6. Step 6: Final answer
    x = 65,958.65

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.