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Finding the Third Proportional to 4,714 and 10,369

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Solution

The third proportional to 4,714 and 10,369 is: 22,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714 : 10,369 = 10,369 : x
  2. Step 2: Convert to fraction form
    4,714/10,369 = 10,369/x
  3. Step 3: Cross multiply
    4,714x = 10,369 × 10,369
  4. Step 4: Simplify right side
    4,714x = 107,516,161
  5. Step 5: Solve for x
    x = 107,516,161/4,714
  6. Step 6: Final answer
    x = 22,807.84

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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.