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Finding the Third Proportional to 28,726 and 62,797

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Solution

The third proportional to 28,726 and 62,797 is: 137,278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,726 : 62,797 = 62,797 : x
  2. Step 2: Convert to fraction form
    28,726/62,797 = 62,797/x
  3. Step 3: Cross multiply
    28,726x = 62,797 × 62,797
  4. Step 4: Simplify right side
    28,726x = 3,943,463,209
  5. Step 5: Solve for x
    x = 3,943,463,209/28,726
  6. Step 6: Final answer
    x = 137,278.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.