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Finding the Third Proportional to 25,296 and 38,294

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Solution

The third proportional to 25,296 and 38,294 is: 57,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,296 : 38,294 = 38,294 : x
  2. Step 2: Convert to fraction form
    25,296/38,294 = 38,294/x
  3. Step 3: Cross multiply
    25,296x = 38,294 × 38,294
  4. Step 4: Simplify right side
    25,296x = 1,466,430,436
  5. Step 5: Solve for x
    x = 1,466,430,436/25,296
  6. Step 6: Final answer
    x = 57,970.84

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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.