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Finding the Third Proportional to 15,102 and 21,165

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Solution

The third proportional to 15,102 and 21,165 is: 29,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 21,165 = 21,165 : x
  2. Step 2: Convert to fraction form
    15,102/21,165 = 21,165/x
  3. Step 3: Cross multiply
    15,102x = 21,165 × 21,165
  4. Step 4: Simplify right side
    15,102x = 447,957,225
  5. Step 5: Solve for x
    x = 447,957,225/15,102
  6. Step 6: Final answer
    x = 29,662.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.