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Finding the Third Proportional to 8,976 and 19,545

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Solution

The third proportional to 8,976 and 19,545 is: 42,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 19,545 = 19,545 : x
  2. Step 2: Convert to fraction form
    8,976/19,545 = 19,545/x
  3. Step 3: Cross multiply
    8,976x = 19,545 × 19,545
  4. Step 4: Simplify right side
    8,976x = 382,007,025
  5. Step 5: Solve for x
    x = 382,007,025/8,976
  6. Step 6: Final answer
    x = 42,558.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.