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Finding the Third Proportional to 11,309 and 24,807

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Solution

The third proportional to 11,309 and 24,807 is: 54,415.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309 : 24,807 = 24,807 : x
  2. Step 2: Convert to fraction form
    11,309/24,807 = 24,807/x
  3. Step 3: Cross multiply
    11,309x = 24,807 × 24,807
  4. Step 4: Simplify right side
    11,309x = 615,387,249
  5. Step 5: Solve for x
    x = 615,387,249/11,309
  6. Step 6: Final answer
    x = 54,415.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.