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Finding the Third Proportional to 17,781 and 26,023

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Solution

The third proportional to 17,781 and 26,023 is: 38,085.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781 : 26,023 = 26,023 : x
  2. Step 2: Convert to fraction form
    17,781/26,023 = 26,023/x
  3. Step 3: Cross multiply
    17,781x = 26,023 × 26,023
  4. Step 4: Simplify right side
    17,781x = 677,196,529
  5. Step 5: Solve for x
    x = 677,196,529/17,781
  6. Step 6: Final answer
    x = 38,085.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.