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Finding the Third Proportional to 8,447.63 and 14,409.56

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Solution

The third proportional to 8,447.63 and 14,409.56 is: 24,579.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.63 : 14,409.56 = 14,409.56 : x
  2. Step 2: Convert to fraction form
    8,447.63/14,409.56 = 14,409.56/x
  3. Step 3: Cross multiply
    8,447.63x = 14,409.56 × 14,409.56
  4. Step 4: Simplify right side
    8,447.63x = 207,635,491.44
  5. Step 5: Solve for x
    x = 207,635,491.44/8,447.63
  6. Step 6: Final answer
    x = 24,579.16

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.