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Finding the Third Proportional to 49,234 and 54,309

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Solution

The third proportional to 49,234 and 54,309 is: 59,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234 : 54,309 = 54,309 : x
  2. Step 2: Convert to fraction form
    49,234/54,309 = 54,309/x
  3. Step 3: Cross multiply
    49,234x = 54,309 × 54,309
  4. Step 4: Simplify right side
    49,234x = 2,949,467,481
  5. Step 5: Solve for x
    x = 2,949,467,481/49,234
  6. Step 6: Final answer
    x = 59,907.13

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.