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Finding the Third Proportional to 8,024.63 and 11,804.63

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Solution

The third proportional to 8,024.63 and 11,804.63 is: 17,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.63 : 11,804.63 = 11,804.63 : x
  2. Step 2: Convert to fraction form
    8,024.63/11,804.63 = 11,804.63/x
  3. Step 3: Cross multiply
    8,024.63x = 11,804.63 × 11,804.63
  4. Step 4: Simplify right side
    8,024.63x = 139,349,171.39
  5. Step 5: Solve for x
    x = 139,349,171.39/8,024.63
  6. Step 6: Final answer
    x = 17,365.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.