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Finding the Third Proportional to 20,841 and 32,779.50

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Solution

The third proportional to 20,841 and 32,779.50 is: 51,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,841 : 32,779.50 = 32,779.50 : x
  2. Step 2: Convert to fraction form
    20,841/32,779.50 = 32,779.50/x
  3. Step 3: Cross multiply
    20,841x = 32,779.50 × 32,779.50
  4. Step 4: Simplify right side
    20,841x = 1,074,495,620.25
  5. Step 5: Solve for x
    x = 1,074,495,620.25/20,841
  6. Step 6: Final answer
    x = 51,556.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.