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Finding the Third Proportional to 20,718 and 44,345

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Solution

The third proportional to 20,718 and 44,345 is: 94,916.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,718 : 44,345 = 44,345 : x
  2. Step 2: Convert to fraction form
    20,718/44,345 = 44,345/x
  3. Step 3: Cross multiply
    20,718x = 44,345 × 44,345
  4. Step 4: Simplify right side
    20,718x = 1,966,479,025
  5. Step 5: Solve for x
    x = 1,966,479,025/20,718
  6. Step 6: Final answer
    x = 94,916.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.