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Finding the Third Proportional to 21,574 and 32,227

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Solution

The third proportional to 21,574 and 32,227 is: 48,140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574 : 32,227 = 32,227 : x
  2. Step 2: Convert to fraction form
    21,574/32,227 = 32,227/x
  3. Step 3: Cross multiply
    21,574x = 32,227 × 32,227
  4. Step 4: Simplify right side
    21,574x = 1,038,579,529
  5. Step 5: Solve for x
    x = 1,038,579,529/21,574
  6. Step 6: Final answer
    x = 48,140.33

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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.