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Finding the Third Proportional to 21,232 and 32,740

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Solution

The third proportional to 21,232 and 32,740 is: 50,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,232 : 32,740 = 32,740 : x
  2. Step 2: Convert to fraction form
    21,232/32,740 = 32,740/x
  3. Step 3: Cross multiply
    21,232x = 32,740 × 32,740
  4. Step 4: Simplify right side
    21,232x = 1,071,907,600
  5. Step 5: Solve for x
    x = 1,071,907,600/21,232
  6. Step 6: Final answer
    x = 50,485.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.