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Finding the Third Proportional to 17,969 and 26,432

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Solution

The third proportional to 17,969 and 26,432 is: 38,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969 : 26,432 = 26,432 : x
  2. Step 2: Convert to fraction form
    17,969/26,432 = 26,432/x
  3. Step 3: Cross multiply
    17,969x = 26,432 × 26,432
  4. Step 4: Simplify right side
    17,969x = 698,650,624
  5. Step 5: Solve for x
    x = 698,650,624/17,969
  6. Step 6: Final answer
    x = 38,880.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.