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Finding the Third Proportional to 25,300 and 38,300

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Solution

The third proportional to 25,300 and 38,300 is: 57,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,300 : 38,300 = 38,300 : x
  2. Step 2: Convert to fraction form
    25,300/38,300 = 38,300/x
  3. Step 3: Cross multiply
    25,300x = 38,300 × 38,300
  4. Step 4: Simplify right side
    25,300x = 1,466,890,000
  5. Step 5: Solve for x
    x = 1,466,890,000/25,300
  6. Step 6: Final answer
    x = 57,979.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.