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Finding the Third Proportional to 18,396 and 26,010

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Solution

The third proportional to 18,396 and 26,010 is: 36,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,396 : 26,010 = 26,010 : x
  2. Step 2: Convert to fraction form
    18,396/26,010 = 26,010/x
  3. Step 3: Cross multiply
    18,396x = 26,010 × 26,010
  4. Step 4: Simplify right side
    18,396x = 676,520,100
  5. Step 5: Solve for x
    x = 676,520,100/18,396
  6. Step 6: Final answer
    x = 36,775.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.