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Finding the Third Proportional to 24,684 and 39,212

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Solution

The third proportional to 24,684 and 39,212 is: 62,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684 : 39,212 = 39,212 : x
  2. Step 2: Convert to fraction form
    24,684/39,212 = 39,212/x
  3. Step 3: Cross multiply
    24,684x = 39,212 × 39,212
  4. Step 4: Simplify right side
    24,684x = 1,537,580,944
  5. Step 5: Solve for x
    x = 1,537,580,944/24,684
  6. Step 6: Final answer
    x = 62,290.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.