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Finding the Third Proportional to 11,383 and 24,709

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Solution

The third proportional to 11,383 and 24,709 is: 53,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383 : 24,709 = 24,709 : x
  2. Step 2: Convert to fraction form
    11,383/24,709 = 24,709/x
  3. Step 3: Cross multiply
    11,383x = 24,709 × 24,709
  4. Step 4: Simplify right side
    11,383x = 610,534,681
  5. Step 5: Solve for x
    x = 610,534,681/11,383
  6. Step 6: Final answer
    x = 53,635.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.