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Finding the Third Proportional to 25,830 and 36,373

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Solution

The third proportional to 25,830 and 36,373 is: 51,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830 : 36,373 = 36,373 : x
  2. Step 2: Convert to fraction form
    25,830/36,373 = 36,373/x
  3. Step 3: Cross multiply
    25,830x = 36,373 × 36,373
  4. Step 4: Simplify right side
    25,830x = 1,322,995,129
  5. Step 5: Solve for x
    x = 1,322,995,129/25,830
  6. Step 6: Final answer
    x = 51,219.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.