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Finding the Third Proportional to 11,464 and 24,309

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Solution

The third proportional to 11,464 and 24,309 is: 51,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464 : 24,309 = 24,309 : x
  2. Step 2: Convert to fraction form
    11,464/24,309 = 24,309/x
  3. Step 3: Cross multiply
    11,464x = 24,309 × 24,309
  4. Step 4: Simplify right side
    11,464x = 590,927,481
  5. Step 5: Solve for x
    x = 590,927,481/11,464
  6. Step 6: Final answer
    x = 51,546.36

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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.