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Finding the Third Proportional to 21,852 and 32,740

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Solution

The third proportional to 21,852 and 32,740 is: 49,053.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852 : 32,740 = 32,740 : x
  2. Step 2: Convert to fraction form
    21,852/32,740 = 32,740/x
  3. Step 3: Cross multiply
    21,852x = 32,740 × 32,740
  4. Step 4: Simplify right side
    21,852x = 1,071,907,600
  5. Step 5: Solve for x
    x = 1,071,907,600/21,852
  6. Step 6: Final answer
    x = 49,053.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.