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Finding the Third Proportional to 24,045 and 52,145

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Solution

The third proportional to 24,045 and 52,145 is: 113,083.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,045 : 52,145 = 52,145 : x
  2. Step 2: Convert to fraction form
    24,045/52,145 = 52,145/x
  3. Step 3: Cross multiply
    24,045x = 52,145 × 52,145
  4. Step 4: Simplify right side
    24,045x = 2,719,101,025
  5. Step 5: Solve for x
    x = 2,719,101,025/24,045
  6. Step 6: Final answer
    x = 113,083.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.