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Finding the Third Proportional to 19,460.25 and 41,229

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Solution

The third proportional to 19,460.25 and 41,229 is: 87,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,460.25 : 41,229 = 41,229 : x
  2. Step 2: Convert to fraction form
    19,460.25/41,229 = 41,229/x
  3. Step 3: Cross multiply
    19,460.25x = 41,229 × 41,229
  4. Step 4: Simplify right side
    19,460.25x = 1,699,830,441
  5. Step 5: Solve for x
    x = 1,699,830,441/19,460.25
  6. Step 6: Final answer
    x = 87,348.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.