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Finding the Third Proportional to 16,023 and 37,092.75

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Solution

The third proportional to 16,023 and 37,092.75 is: 85,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,023 : 37,092.75 = 37,092.75 : x
  2. Step 2: Convert to fraction form
    16,023/37,092.75 = 37,092.75/x
  3. Step 3: Cross multiply
    16,023x = 37,092.75 × 37,092.75
  4. Step 4: Simplify right side
    16,023x = 1,375,872,102.56
  5. Step 5: Solve for x
    x = 1,375,872,102.56/16,023
  6. Step 6: Final answer
    x = 85,868.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.