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Finding the Third Proportional to 10,029 and 21,165

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Solution

The third proportional to 10,029 and 21,165 is: 44,666.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029 : 21,165 = 21,165 : x
  2. Step 2: Convert to fraction form
    10,029/21,165 = 21,165/x
  3. Step 3: Cross multiply
    10,029x = 21,165 × 21,165
  4. Step 4: Simplify right side
    10,029x = 447,957,225
  5. Step 5: Solve for x
    x = 447,957,225/10,029
  6. Step 6: Final answer
    x = 44,666.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.