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Finding the Third Proportional to 11,632 and 24,248

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Solution

The third proportional to 11,632 and 24,248 is: 50,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632 : 24,248 = 24,248 : x
  2. Step 2: Convert to fraction form
    11,632/24,248 = 24,248/x
  3. Step 3: Cross multiply
    11,632x = 24,248 × 24,248
  4. Step 4: Simplify right side
    11,632x = 587,965,504
  5. Step 5: Solve for x
    x = 587,965,504/11,632
  6. Step 6: Final answer
    x = 50,547.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.