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Finding the Third Proportional to 10,709 and 22,714

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Solution

The third proportional to 10,709 and 22,714 is: 48,176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709 : 22,714 = 22,714 : x
  2. Step 2: Convert to fraction form
    10,709/22,714 = 22,714/x
  3. Step 3: Cross multiply
    10,709x = 22,714 × 22,714
  4. Step 4: Simplify right side
    10,709x = 515,925,796
  5. Step 5: Solve for x
    x = 515,925,796/10,709
  6. Step 6: Final answer
    x = 48,176.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.