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Finding the Third Proportional to 11,276 and 24,115

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Solution

The third proportional to 11,276 and 24,115 is: 51,572.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,276 : 24,115 = 24,115 : x
  2. Step 2: Convert to fraction form
    11,276/24,115 = 24,115/x
  3. Step 3: Cross multiply
    11,276x = 24,115 × 24,115
  4. Step 4: Simplify right side
    11,276x = 581,533,225
  5. Step 5: Solve for x
    x = 581,533,225/11,276
  6. Step 6: Final answer
    x = 51,572.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.