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Finding the Third Proportional to 10,470 and 16,165

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Solution

The third proportional to 10,470 and 16,165 is: 24,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470 : 16,165 = 16,165 : x
  2. Step 2: Convert to fraction form
    10,470/16,165 = 16,165/x
  3. Step 3: Cross multiply
    10,470x = 16,165 × 16,165
  4. Step 4: Simplify right side
    10,470x = 261,307,225
  5. Step 5: Solve for x
    x = 261,307,225/10,470
  6. Step 6: Final answer
    x = 24,957.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.