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Finding the Third Proportional to 10,176.47 and 16,188.19

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Solution

The third proportional to 10,176.47 and 16,188.19 is: 25,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.47 : 16,188.19 = 16,188.19 : x
  2. Step 2: Convert to fraction form
    10,176.47/16,188.19 = 16,188.19/x
  3. Step 3: Cross multiply
    10,176.47x = 16,188.19 × 16,188.19
  4. Step 4: Simplify right side
    10,176.47x = 262,057,414.54
  5. Step 5: Solve for x
    x = 262,057,414.54/10,176.47
  6. Step 6: Final answer
    x = 25,751.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.