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Finding the Third Proportional to 26,026.50 and 28,759.50

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Solution

The third proportional to 26,026.50 and 28,759.50 is: 31,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,026.50 : 28,759.50 = 28,759.50 : x
  2. Step 2: Convert to fraction form
    26,026.50/28,759.50 = 28,759.50/x
  3. Step 3: Cross multiply
    26,026.50x = 28,759.50 × 28,759.50
  4. Step 4: Simplify right side
    26,026.50x = 827,108,840.25
  5. Step 5: Solve for x
    x = 827,108,840.25/26,026.50
  6. Step 6: Final answer
    x = 31,779.49

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.