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Finding the Third Proportional to 12,042 and 26,170

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Solution

The third proportional to 12,042 and 26,170 is: 56,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,042 : 26,170 = 26,170 : x
  2. Step 2: Convert to fraction form
    12,042/26,170 = 26,170/x
  3. Step 3: Cross multiply
    12,042x = 26,170 × 26,170
  4. Step 4: Simplify right side
    12,042x = 684,868,900
  5. Step 5: Solve for x
    x = 684,868,900/12,042
  6. Step 6: Final answer
    x = 56,873.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.