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Finding the Third Proportional to 24,096.50 and 52,215

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Solution

The third proportional to 24,096.50 and 52,215 is: 113,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.50 : 52,215 = 52,215 : x
  2. Step 2: Convert to fraction form
    24,096.50/52,215 = 52,215/x
  3. Step 3: Cross multiply
    24,096.50x = 52,215 × 52,215
  4. Step 4: Simplify right side
    24,096.50x = 2,726,406,225
  5. Step 5: Solve for x
    x = 2,726,406,225/24,096.50
  6. Step 6: Final answer
    x = 113,145.32

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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.