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Finding the Third Proportional to 7,148 and 17,224

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Solution

The third proportional to 7,148 and 17,224 is: 41,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148 : 17,224 = 17,224 : x
  2. Step 2: Convert to fraction form
    7,148/17,224 = 17,224/x
  3. Step 3: Cross multiply
    7,148x = 17,224 × 17,224
  4. Step 4: Simplify right side
    7,148x = 296,666,176
  5. Step 5: Solve for x
    x = 296,666,176/7,148
  6. Step 6: Final answer
    x = 41,503.38

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.