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Finding the Third Proportional to 5,159 and 14,059

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Solution

The third proportional to 5,159 and 14,059 is: 38,312.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159 : 14,059 = 14,059 : x
  2. Step 2: Convert to fraction form
    5,159/14,059 = 14,059/x
  3. Step 3: Cross multiply
    5,159x = 14,059 × 14,059
  4. Step 4: Simplify right side
    5,159x = 197,655,481
  5. Step 5: Solve for x
    x = 197,655,481/5,159
  6. Step 6: Final answer
    x = 38,312.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.