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Finding the Third Proportional to 32,720 and 51,892

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Solution

The third proportional to 32,720 and 51,892 is: 82,297.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,720 : 51,892 = 51,892 : x
  2. Step 2: Convert to fraction form
    32,720/51,892 = 51,892/x
  3. Step 3: Cross multiply
    32,720x = 51,892 × 51,892
  4. Step 4: Simplify right side
    32,720x = 2,692,779,664
  5. Step 5: Solve for x
    x = 2,692,779,664/32,720
  6. Step 6: Final answer
    x = 82,297.67

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