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Finding the Third Proportional to 12,626 and 26,062

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Solution

The third proportional to 12,626 and 26,062 is: 53,795.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,626 : 26,062 = 26,062 : x
  2. Step 2: Convert to fraction form
    12,626/26,062 = 26,062/x
  3. Step 3: Cross multiply
    12,626x = 26,062 × 26,062
  4. Step 4: Simplify right side
    12,626x = 679,227,844
  5. Step 5: Solve for x
    x = 679,227,844/12,626
  6. Step 6: Final answer
    x = 53,795.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.