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Finding the Third Proportional to 12,409.31 and 23,563.13

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Solution

The third proportional to 12,409.31 and 23,563.13 is: 44,742.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.31 : 23,563.13 = 23,563.13 : x
  2. Step 2: Convert to fraction form
    12,409.31/23,563.13 = 23,563.13/x
  3. Step 3: Cross multiply
    12,409.31x = 23,563.13 × 23,563.13
  4. Step 4: Simplify right side
    12,409.31x = 555,220,859.77
  5. Step 5: Solve for x
    x = 555,220,859.77/12,409.31
  6. Step 6: Final answer
    x = 44,742.27

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.