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Finding the Third Proportional to 26,024 and 28,758

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Solution

The third proportional to 26,024 and 28,758 is: 31,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 28,758 = 28,758 : x
  2. Step 2: Convert to fraction form
    26,024/28,758 = 28,758/x
  3. Step 3: Cross multiply
    26,024x = 28,758 × 28,758
  4. Step 4: Simplify right side
    26,024x = 827,022,564
  5. Step 5: Solve for x
    x = 827,022,564/26,024
  6. Step 6: Final answer
    x = 31,779.23

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Why These Related Problems?

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