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Finding the Third Proportional to 10,212 and 24,714

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Solution

The third proportional to 10,212 and 24,714 is: 59,810.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212 : 24,714 = 24,714 : x
  2. Step 2: Convert to fraction form
    10,212/24,714 = 24,714/x
  3. Step 3: Cross multiply
    10,212x = 24,714 × 24,714
  4. Step 4: Simplify right side
    10,212x = 610,781,796
  5. Step 5: Solve for x
    x = 610,781,796/10,212
  6. Step 6: Final answer
    x = 59,810.20

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.