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Finding the Third Proportional to 12,133 and 25,723

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Solution

The third proportional to 12,133 and 25,723 is: 54,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,133 : 25,723 = 25,723 : x
  2. Step 2: Convert to fraction form
    12,133/25,723 = 25,723/x
  3. Step 3: Cross multiply
    12,133x = 25,723 × 25,723
  4. Step 4: Simplify right side
    12,133x = 661,672,729
  5. Step 5: Solve for x
    x = 661,672,729/12,133
  6. Step 6: Final answer
    x = 54,534.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.