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Finding the Third Proportional to 17,664 and 39,216

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Solution

The third proportional to 17,664 and 39,216 is: 87,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,664 : 39,216 = 39,216 : x
  2. Step 2: Convert to fraction form
    17,664/39,216 = 39,216/x
  3. Step 3: Cross multiply
    17,664x = 39,216 × 39,216
  4. Step 4: Simplify right side
    17,664x = 1,537,894,656
  5. Step 5: Solve for x
    x = 1,537,894,656/17,664
  6. Step 6: Final answer
    x = 87,063.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.