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Finding the Third Proportional to 24,103.69 and 37,072.13

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Solution

The third proportional to 24,103.69 and 37,072.13 is: 57,017.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,103.69 : 37,072.13 = 37,072.13 : x
  2. Step 2: Convert to fraction form
    24,103.69/37,072.13 = 37,072.13/x
  3. Step 3: Cross multiply
    24,103.69x = 37,072.13 × 37,072.13
  4. Step 4: Simplify right side
    24,103.69x = 1,374,342,452.02
  5. Step 5: Solve for x
    x = 1,374,342,452.02/24,103.69
  6. Step 6: Final answer
    x = 57,017.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.