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Finding the Third Proportional to 25,722 and 38,643

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Solution

The third proportional to 25,722 and 38,643 is: 58,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,722 : 38,643 = 38,643 : x
  2. Step 2: Convert to fraction form
    25,722/38,643 = 38,643/x
  3. Step 3: Cross multiply
    25,722x = 38,643 × 38,643
  4. Step 4: Simplify right side
    25,722x = 1,493,281,449
  5. Step 5: Solve for x
    x = 1,493,281,449/25,722
  6. Step 6: Final answer
    x = 58,054.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.