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Finding the Third Proportional to 21,172 and 32,502

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Solution

The third proportional to 21,172 and 32,502 is: 49,895.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,172 : 32,502 = 32,502 : x
  2. Step 2: Convert to fraction form
    21,172/32,502 = 32,502/x
  3. Step 3: Cross multiply
    21,172x = 32,502 × 32,502
  4. Step 4: Simplify right side
    21,172x = 1,056,380,004
  5. Step 5: Solve for x
    x = 1,056,380,004/21,172
  6. Step 6: Final answer
    x = 49,895.14

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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.