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Finding the Third Proportional to 25,575 and 52,925

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Solution

The third proportional to 25,575 and 52,925 is: 109,523.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,575 : 52,925 = 52,925 : x
  2. Step 2: Convert to fraction form
    25,575/52,925 = 52,925/x
  3. Step 3: Cross multiply
    25,575x = 52,925 × 52,925
  4. Step 4: Simplify right side
    25,575x = 2,801,055,625
  5. Step 5: Solve for x
    x = 2,801,055,625/25,575
  6. Step 6: Final answer
    x = 109,523.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.