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Finding the Third Proportional to 11,646 and 25,138.50

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Solution

The third proportional to 11,646 and 25,138.50 is: 54,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646 : 25,138.50 = 25,138.50 : x
  2. Step 2: Convert to fraction form
    11,646/25,138.50 = 25,138.50/x
  3. Step 3: Cross multiply
    11,646x = 25,138.50 × 25,138.50
  4. Step 4: Simplify right side
    11,646x = 631,944,182.25
  5. Step 5: Solve for x
    x = 631,944,182.25/11,646
  6. Step 6: Final answer
    x = 54,262.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.