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Finding the Third Proportional to 20,946 and 29,867

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Solution

The third proportional to 20,946 and 29,867 is: 42,587.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946 : 29,867 = 29,867 : x
  2. Step 2: Convert to fraction form
    20,946/29,867 = 29,867/x
  3. Step 3: Cross multiply
    20,946x = 29,867 × 29,867
  4. Step 4: Simplify right side
    20,946x = 892,037,689
  5. Step 5: Solve for x
    x = 892,037,689/20,946
  6. Step 6: Final answer
    x = 42,587.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.