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Finding the Third Proportional to 14,309 and 30,252

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Solution

The third proportional to 14,309 and 30,252 is: 63,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309 : 30,252 = 30,252 : x
  2. Step 2: Convert to fraction form
    14,309/30,252 = 30,252/x
  3. Step 3: Cross multiply
    14,309x = 30,252 × 30,252
  4. Step 4: Simplify right side
    14,309x = 915,183,504
  5. Step 5: Solve for x
    x = 915,183,504/14,309
  6. Step 6: Final answer
    x = 63,958.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.