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Finding the Third Proportional to 15,393 and 32,094

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Solution

The third proportional to 15,393 and 32,094 is: 66,915.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,393 : 32,094 = 32,094 : x
  2. Step 2: Convert to fraction form
    15,393/32,094 = 32,094/x
  3. Step 3: Cross multiply
    15,393x = 32,094 × 32,094
  4. Step 4: Simplify right side
    15,393x = 1,030,024,836
  5. Step 5: Solve for x
    x = 1,030,024,836/15,393
  6. Step 6: Final answer
    x = 66,915.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.