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Finding the Third Proportional to 9,146 and 20,344

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Solution

The third proportional to 9,146 and 20,344 is: 45,252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146 : 20,344 = 20,344 : x
  2. Step 2: Convert to fraction form
    9,146/20,344 = 20,344/x
  3. Step 3: Cross multiply
    9,146x = 20,344 × 20,344
  4. Step 4: Simplify right side
    9,146x = 413,878,336
  5. Step 5: Solve for x
    x = 413,878,336/9,146
  6. Step 6: Final answer
    x = 45,252.39

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.