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Finding the Third Proportional to 11,309 and 24,076

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Solution

The third proportional to 11,309 and 24,076 is: 51,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 24,076 = 24,076 : x
  2. Step 2: Convert to fraction form
    11,309/24,076 = 24,076/x
  3. Step 3: Cross multiply
    11,309x = 24,076 × 24,076
  4. Step 4: Simplify right side
    11,309x = 579,653,776
  5. Step 5: Solve for x
    x = 579,653,776/11,309
  6. Step 6: Final answer
    x = 51,255.97

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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.