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Finding the Third Proportional to 23,444 and 55,309

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Solution

The third proportional to 23,444 and 55,309 is: 130,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444 : 55,309 = 55,309 : x
  2. Step 2: Convert to fraction form
    23,444/55,309 = 55,309/x
  3. Step 3: Cross multiply
    23,444x = 55,309 × 55,309
  4. Step 4: Simplify right side
    23,444x = 3,059,085,481
  5. Step 5: Solve for x
    x = 3,059,085,481/23,444
  6. Step 6: Final answer
    x = 130,484.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.