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Finding the Third Proportional to 16,250 and 24,575

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Solution

The third proportional to 16,250 and 24,575 is: 37,164.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250 : 24,575 = 24,575 : x
  2. Step 2: Convert to fraction form
    16,250/24,575 = 24,575/x
  3. Step 3: Cross multiply
    16,250x = 24,575 × 24,575
  4. Step 4: Simplify right side
    16,250x = 603,930,625
  5. Step 5: Solve for x
    x = 603,930,625/16,250
  6. Step 6: Final answer
    x = 37,164.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.