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Finding the Third Proportional to 21,003 and 32,497

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Solution

The third proportional to 21,003 and 32,497 is: 50,281.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003 : 32,497 = 32,497 : x
  2. Step 2: Convert to fraction form
    21,003/32,497 = 32,497/x
  3. Step 3: Cross multiply
    21,003x = 32,497 × 32,497
  4. Step 4: Simplify right side
    21,003x = 1,056,055,009
  5. Step 5: Solve for x
    x = 1,056,055,009/21,003
  6. Step 6: Final answer
    x = 50,281.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.