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Finding the Third Proportional to 15,094 and 23,399

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Solution

The third proportional to 15,094 and 23,399 is: 36,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,094 : 23,399 = 23,399 : x
  2. Step 2: Convert to fraction form
    15,094/23,399 = 23,399/x
  3. Step 3: Cross multiply
    15,094x = 23,399 × 23,399
  4. Step 4: Simplify right side
    15,094x = 547,513,201
  5. Step 5: Solve for x
    x = 547,513,201/15,094
  6. Step 6: Final answer
    x = 36,273.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.