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Finding the Third Proportional to 24,492.38 and 52,189.31

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Solution

The third proportional to 24,492.38 and 52,189.31 is: 111,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.38 : 52,189.31 = 52,189.31 : x
  2. Step 2: Convert to fraction form
    24,492.38/52,189.31 = 52,189.31/x
  3. Step 3: Cross multiply
    24,492.38x = 52,189.31 × 52,189.31
  4. Step 4: Simplify right side
    24,492.38x = 2,723,724,339.22
  5. Step 5: Solve for x
    x = 2,723,724,339.22/24,492.38
  6. Step 6: Final answer
    x = 111,207.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.