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Finding the Third Proportional to 21,472 and 32,083

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Solution

The third proportional to 21,472 and 32,083 is: 47,937.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472 : 32,083 = 32,083 : x
  2. Step 2: Convert to fraction form
    21,472/32,083 = 32,083/x
  3. Step 3: Cross multiply
    21,472x = 32,083 × 32,083
  4. Step 4: Simplify right side
    21,472x = 1,029,318,889
  5. Step 5: Solve for x
    x = 1,029,318,889/21,472
  6. Step 6: Final answer
    x = 47,937.73

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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.