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Finding the Third Proportional to 11,398.50 and 24,903

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Solution

The third proportional to 11,398.50 and 24,903 is: 54,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.50 : 24,903 = 24,903 : x
  2. Step 2: Convert to fraction form
    11,398.50/24,903 = 24,903/x
  3. Step 3: Cross multiply
    11,398.50x = 24,903 × 24,903
  4. Step 4: Simplify right side
    11,398.50x = 620,159,409
  5. Step 5: Solve for x
    x = 620,159,409/11,398.50
  6. Step 6: Final answer
    x = 54,407.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.