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Finding the Third Proportional to 11,853 and 27,370.50

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Solution

The third proportional to 11,853 and 27,370.50 is: 63,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853 : 27,370.50 = 27,370.50 : x
  2. Step 2: Convert to fraction form
    11,853/27,370.50 = 27,370.50/x
  3. Step 3: Cross multiply
    11,853x = 27,370.50 × 27,370.50
  4. Step 4: Simplify right side
    11,853x = 749,144,270.25
  5. Step 5: Solve for x
    x = 749,144,270.25/11,853
  6. Step 6: Final answer
    x = 63,202.93

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.