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Finding the Third Proportional to 19,827 and 26,432

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Solution

The third proportional to 19,827 and 26,432 is: 35,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827 : 26,432 = 26,432 : x
  2. Step 2: Convert to fraction form
    19,827/26,432 = 26,432/x
  3. Step 3: Cross multiply
    19,827x = 26,432 × 26,432
  4. Step 4: Simplify right side
    19,827x = 698,650,624
  5. Step 5: Solve for x
    x = 698,650,624/19,827
  6. Step 6: Final answer
    x = 35,237.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.