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Finding the Third Proportional to 23,500 and 36,588

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Solution

The third proportional to 23,500 and 36,588 is: 56,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500 : 36,588 = 36,588 : x
  2. Step 2: Convert to fraction form
    23,500/36,588 = 36,588/x
  3. Step 3: Cross multiply
    23,500x = 36,588 × 36,588
  4. Step 4: Simplify right side
    23,500x = 1,338,681,744
  5. Step 5: Solve for x
    x = 1,338,681,744/23,500
  6. Step 6: Final answer
    x = 56,965.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.