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Finding the Third Proportional to 7,674.75 and 18,141

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Solution

The third proportional to 7,674.75 and 18,141 is: 42,880.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 18,141 = 18,141 : x
  2. Step 2: Convert to fraction form
    7,674.75/18,141 = 18,141/x
  3. Step 3: Cross multiply
    7,674.75x = 18,141 × 18,141
  4. Step 4: Simplify right side
    7,674.75x = 329,095,881
  5. Step 5: Solve for x
    x = 329,095,881/7,674.75
  6. Step 6: Final answer
    x = 42,880.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.