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Finding the Third Proportional to 32,218 and 51,126

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Solution

The third proportional to 32,218 and 51,126 is: 81,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,218 : 51,126 = 51,126 : x
  2. Step 2: Convert to fraction form
    32,218/51,126 = 51,126/x
  3. Step 3: Cross multiply
    32,218x = 51,126 × 51,126
  4. Step 4: Simplify right side
    32,218x = 2,613,867,876
  5. Step 5: Solve for x
    x = 2,613,867,876/32,218
  6. Step 6: Final answer
    x = 81,130.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.