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Finding the Third Proportional to 41,216 and 58,224

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Solution

The third proportional to 41,216 and 58,224 is: 82,250.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,216 : 58,224 = 58,224 : x
  2. Step 2: Convert to fraction form
    41,216/58,224 = 58,224/x
  3. Step 3: Cross multiply
    41,216x = 58,224 × 58,224
  4. Step 4: Simplify right side
    41,216x = 3,390,034,176
  5. Step 5: Solve for x
    x = 3,390,034,176/41,216
  6. Step 6: Final answer
    x = 82,250.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.