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Finding the Third Proportional to 7,046 and 16,375

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Solution

The third proportional to 7,046 and 16,375 is: 38,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046 : 16,375 = 16,375 : x
  2. Step 2: Convert to fraction form
    7,046/16,375 = 16,375/x
  3. Step 3: Cross multiply
    7,046x = 16,375 × 16,375
  4. Step 4: Simplify right side
    7,046x = 268,140,625
  5. Step 5: Solve for x
    x = 268,140,625/7,046
  6. Step 6: Final answer
    x = 38,055.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.