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Finding the Third Proportional to 20,756 and 32,646

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Solution

The third proportional to 20,756 and 32,646 is: 51,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756 : 32,646 = 32,646 : x
  2. Step 2: Convert to fraction form
    20,756/32,646 = 32,646/x
  3. Step 3: Cross multiply
    20,756x = 32,646 × 32,646
  4. Step 4: Simplify right side
    20,756x = 1,065,761,316
  5. Step 5: Solve for x
    x = 1,065,761,316/20,756
  6. Step 6: Final answer
    x = 51,347.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.