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Finding the Third Proportional to 23,045 and 53,964

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Solution

The third proportional to 23,045 and 53,964 is: 126,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045 : 53,964 = 53,964 : x
  2. Step 2: Convert to fraction form
    23,045/53,964 = 53,964/x
  3. Step 3: Cross multiply
    23,045x = 53,964 × 53,964
  4. Step 4: Simplify right side
    23,045x = 2,912,113,296
  5. Step 5: Solve for x
    x = 2,912,113,296/23,045
  6. Step 6: Final answer
    x = 126,366.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.