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Finding the Third Proportional to 24,212 and 53,217

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Solution

The third proportional to 24,212 and 53,217 is: 116,968.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,212 : 53,217 = 53,217 : x
  2. Step 2: Convert to fraction form
    24,212/53,217 = 53,217/x
  3. Step 3: Cross multiply
    24,212x = 53,217 × 53,217
  4. Step 4: Simplify right side
    24,212x = 2,832,049,089
  5. Step 5: Solve for x
    x = 2,832,049,089/24,212
  6. Step 6: Final answer
    x = 116,968.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.