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Finding the Third Proportional to 10,192 and 16,275

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Solution

The third proportional to 10,192 and 16,275 is: 25,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192 : 16,275 = 16,275 : x
  2. Step 2: Convert to fraction form
    10,192/16,275 = 16,275/x
  3. Step 3: Cross multiply
    10,192x = 16,275 × 16,275
  4. Step 4: Simplify right side
    10,192x = 264,875,625
  5. Step 5: Solve for x
    x = 264,875,625/10,192
  6. Step 6: Final answer
    x = 25,988.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.