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Finding the Third Proportional to 12,324.66 and 23,829.19

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Solution

The third proportional to 12,324.66 and 23,829.19 is: 46,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,324.66 : 23,829.19 = 23,829.19 : x
  2. Step 2: Convert to fraction form
    12,324.66/23,829.19 = 23,829.19/x
  3. Step 3: Cross multiply
    12,324.66x = 23,829.19 × 23,829.19
  4. Step 4: Simplify right side
    12,324.66x = 567,830,176.91
  5. Step 5: Solve for x
    x = 567,830,176.91/12,324.66
  6. Step 6: Final answer
    x = 46,072.70

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.