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Finding the Third Proportional to 11,430 and 24,226

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Solution

The third proportional to 11,430 and 24,226 is: 51,347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430 : 24,226 = 24,226 : x
  2. Step 2: Convert to fraction form
    11,430/24,226 = 24,226/x
  3. Step 3: Cross multiply
    11,430x = 24,226 × 24,226
  4. Step 4: Simplify right side
    11,430x = 586,899,076
  5. Step 5: Solve for x
    x = 586,899,076/11,430
  6. Step 6: Final answer
    x = 51,347.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.