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Finding the Third Proportional to 23,172 and 33,588

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Solution

The third proportional to 23,172 and 33,588 is: 48,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172 : 33,588 = 33,588 : x
  2. Step 2: Convert to fraction form
    23,172/33,588 = 33,588/x
  3. Step 3: Cross multiply
    23,172x = 33,588 × 33,588
  4. Step 4: Simplify right side
    23,172x = 1,128,153,744
  5. Step 5: Solve for x
    x = 1,128,153,744/23,172
  6. Step 6: Final answer
    x = 48,686.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.