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Finding the Third Proportional to 14,216 and 30,224

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Solution

The third proportional to 14,216 and 30,224 is: 64,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 30,224 = 30,224 : x
  2. Step 2: Convert to fraction form
    14,216/30,224 = 30,224/x
  3. Step 3: Cross multiply
    14,216x = 30,224 × 30,224
  4. Step 4: Simplify right side
    14,216x = 913,490,176
  5. Step 5: Solve for x
    x = 913,490,176/14,216
  6. Step 6: Final answer
    x = 64,257.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.