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Finding the Third Proportional to 44,024 and 92,400

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Solution

The third proportional to 44,024 and 92,400 is: 193,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,024 : 92,400 = 92,400 : x
  2. Step 2: Convert to fraction form
    44,024/92,400 = 92,400/x
  3. Step 3: Cross multiply
    44,024x = 92,400 × 92,400
  4. Step 4: Simplify right side
    44,024x = 8,537,760,000
  5. Step 5: Solve for x
    x = 8,537,760,000/44,024
  6. Step 6: Final answer
    x = 193,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.