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Finding the Third Proportional to 25,278 and 36,819

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Solution

The third proportional to 25,278 and 36,819 is: 53,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278 : 36,819 = 36,819 : x
  2. Step 2: Convert to fraction form
    25,278/36,819 = 36,819/x
  3. Step 3: Cross multiply
    25,278x = 36,819 × 36,819
  4. Step 4: Simplify right side
    25,278x = 1,355,638,761
  5. Step 5: Solve for x
    x = 1,355,638,761/25,278
  6. Step 6: Final answer
    x = 53,629.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.