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Finding the Third Proportional to 25,054 and 38,525

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Solution

The third proportional to 25,054 and 38,525 is: 59,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054 : 38,525 = 38,525 : x
  2. Step 2: Convert to fraction form
    25,054/38,525 = 38,525/x
  3. Step 3: Cross multiply
    25,054x = 38,525 × 38,525
  4. Step 4: Simplify right side
    25,054x = 1,484,175,625
  5. Step 5: Solve for x
    x = 1,484,175,625/25,054
  6. Step 6: Final answer
    x = 59,239.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.