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Finding the Third Proportional to 38,315 and 57,525

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Solution

The third proportional to 38,315 and 57,525 is: 86,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,315 : 57,525 = 57,525 : x
  2. Step 2: Convert to fraction form
    38,315/57,525 = 57,525/x
  3. Step 3: Cross multiply
    38,315x = 57,525 × 57,525
  4. Step 4: Simplify right side
    38,315x = 3,309,125,625
  5. Step 5: Solve for x
    x = 3,309,125,625/38,315
  6. Step 6: Final answer
    x = 86,366.32

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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.