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Finding the Third Proportional to 15,804 and 23,166

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Solution

The third proportional to 15,804 and 23,166 is: 33,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,804 : 23,166 = 23,166 : x
  2. Step 2: Convert to fraction form
    15,804/23,166 = 23,166/x
  3. Step 3: Cross multiply
    15,804x = 23,166 × 23,166
  4. Step 4: Simplify right side
    15,804x = 536,663,556
  5. Step 5: Solve for x
    x = 536,663,556/15,804
  6. Step 6: Final answer
    x = 33,957.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.