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Finding the Third Proportional to 17,480 and 41,224

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Solution

The third proportional to 17,480 and 41,224 is: 97,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,480 : 41,224 = 41,224 : x
  2. Step 2: Convert to fraction form
    17,480/41,224 = 41,224/x
  3. Step 3: Cross multiply
    17,480x = 41,224 × 41,224
  4. Step 4: Simplify right side
    17,480x = 1,699,418,176
  5. Step 5: Solve for x
    x = 1,699,418,176/17,480
  6. Step 6: Final answer
    x = 97,220.72

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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.