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Finding the Third Proportional to 20,752 and 32,186

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Solution

The third proportional to 20,752 and 32,186 is: 49,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,752 : 32,186 = 32,186 : x
  2. Step 2: Convert to fraction form
    20,752/32,186 = 32,186/x
  3. Step 3: Cross multiply
    20,752x = 32,186 × 32,186
  4. Step 4: Simplify right side
    20,752x = 1,035,938,596
  5. Step 5: Solve for x
    x = 1,035,938,596/20,752
  6. Step 6: Final answer
    x = 49,919.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.