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Finding the Third Proportional to 4,655 and 10,114

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Solution

The third proportional to 4,655 and 10,114 is: 21,974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655 : 10,114 = 10,114 : x
  2. Step 2: Convert to fraction form
    4,655/10,114 = 10,114/x
  3. Step 3: Cross multiply
    4,655x = 10,114 × 10,114
  4. Step 4: Simplify right side
    4,655x = 102,292,996
  5. Step 5: Solve for x
    x = 102,292,996/4,655
  6. Step 6: Final answer
    x = 21,974.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.