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Finding the Third Proportional to 32,722 and 51,898

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Solution

The third proportional to 32,722 and 51,898 is: 82,311.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,722 : 51,898 = 51,898 : x
  2. Step 2: Convert to fraction form
    32,722/51,898 = 51,898/x
  3. Step 3: Cross multiply
    32,722x = 51,898 × 51,898
  4. Step 4: Simplify right side
    32,722x = 2,693,402,404
  5. Step 5: Solve for x
    x = 2,693,402,404/32,722
  6. Step 6: Final answer
    x = 82,311.67

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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.