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Finding the Third Proportional to 18,626 and 26,403

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Solution

The third proportional to 18,626 and 26,403 is: 37,427.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,626 : 26,403 = 26,403 : x
  2. Step 2: Convert to fraction form
    18,626/26,403 = 26,403/x
  3. Step 3: Cross multiply
    18,626x = 26,403 × 26,403
  4. Step 4: Simplify right side
    18,626x = 697,118,409
  5. Step 5: Solve for x
    x = 697,118,409/18,626
  6. Step 6: Final answer
    x = 37,427.17

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.