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Finding the Third Proportional to 43,024 and 94,328

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Solution

The third proportional to 43,024 and 94,328 is: 206,809.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,024 : 94,328 = 94,328 : x
  2. Step 2: Convert to fraction form
    43,024/94,328 = 94,328/x
  3. Step 3: Cross multiply
    43,024x = 94,328 × 94,328
  4. Step 4: Simplify right side
    43,024x = 8,897,771,584
  5. Step 5: Solve for x
    x = 8,897,771,584/43,024
  6. Step 6: Final answer
    x = 206,809.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.