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Finding the Third Proportional to 15,397 and 23,164

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Solution

The third proportional to 15,397 and 23,164 is: 34,849.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,397 : 23,164 = 23,164 : x
  2. Step 2: Convert to fraction form
    15,397/23,164 = 23,164/x
  3. Step 3: Cross multiply
    15,397x = 23,164 × 23,164
  4. Step 4: Simplify right side
    15,397x = 536,570,896
  5. Step 5: Solve for x
    x = 536,570,896/15,397
  6. Step 6: Final answer
    x = 34,849.05

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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.