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Finding the Third Proportional to 4,546 and 10,339

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Solution

The third proportional to 4,546 and 10,339 is: 23,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546 : 10,339 = 10,339 : x
  2. Step 2: Convert to fraction form
    4,546/10,339 = 10,339/x
  3. Step 3: Cross multiply
    4,546x = 10,339 × 10,339
  4. Step 4: Simplify right side
    4,546x = 106,894,921
  5. Step 5: Solve for x
    x = 106,894,921/4,546
  6. Step 6: Final answer
    x = 23,514.06

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.