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Finding the Third Proportional to 23,788 and 36,575

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Solution

The third proportional to 23,788 and 36,575 is: 56,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788 : 36,575 = 36,575 : x
  2. Step 2: Convert to fraction form
    23,788/36,575 = 36,575/x
  3. Step 3: Cross multiply
    23,788x = 36,575 × 36,575
  4. Step 4: Simplify right side
    23,788x = 1,337,730,625
  5. Step 5: Solve for x
    x = 1,337,730,625/23,788
  6. Step 6: Final answer
    x = 56,235.52

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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.