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Finding the Third Proportional to 14,615.44 and 23,262.19

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Solution

The third proportional to 14,615.44 and 23,262.19 is: 37,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.44 : 23,262.19 = 23,262.19 : x
  2. Step 2: Convert to fraction form
    14,615.44/23,262.19 = 23,262.19/x
  3. Step 3: Cross multiply
    14,615.44x = 23,262.19 × 23,262.19
  4. Step 4: Simplify right side
    14,615.44x = 541,129,367.29
  5. Step 5: Solve for x
    x = 541,129,367.29/14,615.44
  6. Step 6: Final answer
    x = 37,024.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.