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Finding the Third Proportional to 20,575 and 32,015

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Solution

The third proportional to 20,575 and 32,015 is: 49,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575 : 32,015 = 32,015 : x
  2. Step 2: Convert to fraction form
    20,575/32,015 = 32,015/x
  3. Step 3: Cross multiply
    20,575x = 32,015 × 32,015
  4. Step 4: Simplify right side
    20,575x = 1,024,960,225
  5. Step 5: Solve for x
    x = 1,024,960,225/20,575
  6. Step 6: Final answer
    x = 49,815.81

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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.