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Finding the Third Proportional to 8,969 and 19,642

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Solution

The third proportional to 8,969 and 19,642 is: 43,015.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969 : 19,642 = 19,642 : x
  2. Step 2: Convert to fraction form
    8,969/19,642 = 19,642/x
  3. Step 3: Cross multiply
    8,969x = 19,642 × 19,642
  4. Step 4: Simplify right side
    8,969x = 385,808,164
  5. Step 5: Solve for x
    x = 385,808,164/8,969
  6. Step 6: Final answer
    x = 43,015.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.