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Finding the Third Proportional to 21,517 and 32,045

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Solution

The third proportional to 21,517 and 32,045 is: 47,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,517 : 32,045 = 32,045 : x
  2. Step 2: Convert to fraction form
    21,517/32,045 = 32,045/x
  3. Step 3: Cross multiply
    21,517x = 32,045 × 32,045
  4. Step 4: Simplify right side
    21,517x = 1,026,882,025
  5. Step 5: Solve for x
    x = 1,026,882,025/21,517
  6. Step 6: Final answer
    x = 47,724.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.