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Finding the Third Proportional to 7,443 and 16,290

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Solution

The third proportional to 7,443 and 16,290 is: 35,652.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443 : 16,290 = 16,290 : x
  2. Step 2: Convert to fraction form
    7,443/16,290 = 16,290/x
  3. Step 3: Cross multiply
    7,443x = 16,290 × 16,290
  4. Step 4: Simplify right side
    7,443x = 265,364,100
  5. Step 5: Solve for x
    x = 265,364,100/7,443
  6. Step 6: Final answer
    x = 35,652.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.