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Finding the Third Proportional to 10,046.53 and 16,132.92

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Solution

The third proportional to 10,046.53 and 16,132.92 is: 25,906.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046.53 : 16,132.92 = 16,132.92 : x
  2. Step 2: Convert to fraction form
    10,046.53/16,132.92 = 16,132.92/x
  3. Step 3: Cross multiply
    10,046.53x = 16,132.92 × 16,132.92
  4. Step 4: Simplify right side
    10,046.53x = 260,271,168.22
  5. Step 5: Solve for x
    x = 260,271,168.22/10,046.53
  6. Step 6: Final answer
    x = 25,906.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.