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Finding the Third Proportional to 21,731 and 32,202

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Solution

The third proportional to 21,731 and 32,202 is: 47,718.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,731 : 32,202 = 32,202 : x
  2. Step 2: Convert to fraction form
    21,731/32,202 = 32,202/x
  3. Step 3: Cross multiply
    21,731x = 32,202 × 32,202
  4. Step 4: Simplify right side
    21,731x = 1,036,968,804
  5. Step 5: Solve for x
    x = 1,036,968,804/21,731
  6. Step 6: Final answer
    x = 47,718.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.