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Finding the Third Proportional to 11,513 and 24,838

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Solution

The third proportional to 11,513 and 24,838 is: 53,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,513 : 24,838 = 24,838 : x
  2. Step 2: Convert to fraction form
    11,513/24,838 = 24,838/x
  3. Step 3: Cross multiply
    11,513x = 24,838 × 24,838
  4. Step 4: Simplify right side
    11,513x = 616,926,244
  5. Step 5: Solve for x
    x = 616,926,244/11,513
  6. Step 6: Final answer
    x = 53,585.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.