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Finding the Third Proportional to 15,309 and 23,166

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Solution

The third proportional to 15,309 and 23,166 is: 35,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,309 : 23,166 = 23,166 : x
  2. Step 2: Convert to fraction form
    15,309/23,166 = 23,166/x
  3. Step 3: Cross multiply
    15,309x = 23,166 × 23,166
  4. Step 4: Simplify right side
    15,309x = 536,663,556
  5. Step 5: Solve for x
    x = 536,663,556/15,309
  6. Step 6: Final answer
    x = 35,055.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.