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Finding the Third Proportional to 14,071 and 30,309

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Solution

The third proportional to 14,071 and 30,309 is: 65,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071 : 30,309 = 30,309 : x
  2. Step 2: Convert to fraction form
    14,071/30,309 = 30,309/x
  3. Step 3: Cross multiply
    14,071x = 30,309 × 30,309
  4. Step 4: Simplify right side
    14,071x = 918,635,481
  5. Step 5: Solve for x
    x = 918,635,481/14,071
  6. Step 6: Final answer
    x = 65,285.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.