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Finding the Third Proportional to 23,829.19 and 52,032.38

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Solution

The third proportional to 23,829.19 and 52,032.38 is: 113,615.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,829.19 : 52,032.38 = 52,032.38 : x
  2. Step 2: Convert to fraction form
    23,829.19/52,032.38 = 52,032.38/x
  3. Step 3: Cross multiply
    23,829.19x = 52,032.38 × 52,032.38
  4. Step 4: Simplify right side
    23,829.19x = 2,707,368,048.14
  5. Step 5: Solve for x
    x = 2,707,368,048.14/23,829.19
  6. Step 6: Final answer
    x = 113,615.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.