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Finding the Third Proportional to 7,724 and 16,152

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Solution

The third proportional to 7,724 and 16,152 is: 33,776.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 16,152 = 16,152 : x
  2. Step 2: Convert to fraction form
    7,724/16,152 = 16,152/x
  3. Step 3: Cross multiply
    7,724x = 16,152 × 16,152
  4. Step 4: Simplify right side
    7,724x = 260,887,104
  5. Step 5: Solve for x
    x = 260,887,104/7,724
  6. Step 6: Final answer
    x = 33,776.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.