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Finding the Third Proportional to 11,563.50 and 23,559

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Solution

The third proportional to 11,563.50 and 23,559 is: 47,998.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.50 : 23,559 = 23,559 : x
  2. Step 2: Convert to fraction form
    11,563.50/23,559 = 23,559/x
  3. Step 3: Cross multiply
    11,563.50x = 23,559 × 23,559
  4. Step 4: Simplify right side
    11,563.50x = 555,026,481
  5. Step 5: Solve for x
    x = 555,026,481/11,563.50
  6. Step 6: Final answer
    x = 47,998.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.