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Finding the Third Proportional to 7,184 and 14,869

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Solution

The third proportional to 7,184 and 14,869 is: 30,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184 : 14,869 = 14,869 : x
  2. Step 2: Convert to fraction form
    7,184/14,869 = 14,869/x
  3. Step 3: Cross multiply
    7,184x = 14,869 × 14,869
  4. Step 4: Simplify right side
    7,184x = 221,087,161
  5. Step 5: Solve for x
    x = 221,087,161/7,184
  6. Step 6: Final answer
    x = 30,774.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.