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Finding the Third Proportional to 26,779.50 and 29,209.50

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Solution

The third proportional to 26,779.50 and 29,209.50 is: 31,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,779.50 : 29,209.50 = 29,209.50 : x
  2. Step 2: Convert to fraction form
    26,779.50/29,209.50 = 29,209.50/x
  3. Step 3: Cross multiply
    26,779.50x = 29,209.50 × 29,209.50
  4. Step 4: Simplify right side
    26,779.50x = 853,194,890.25
  5. Step 5: Solve for x
    x = 853,194,890.25/26,779.50
  6. Step 6: Final answer
    x = 31,860.00

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.