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Finding the Third Proportional to 6,042 and 13,214

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Solution

The third proportional to 6,042 and 13,214 is: 28,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042 : 13,214 = 13,214 : x
  2. Step 2: Convert to fraction form
    6,042/13,214 = 13,214/x
  3. Step 3: Cross multiply
    6,042x = 13,214 × 13,214
  4. Step 4: Simplify right side
    6,042x = 174,609,796
  5. Step 5: Solve for x
    x = 174,609,796/6,042
  6. Step 6: Final answer
    x = 28,899.34

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1.5x scale

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.