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Finding the Third Proportional to 21,350 and 32,034

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Solution

The third proportional to 21,350 and 32,034 is: 48,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,350 : 32,034 = 32,034 : x
  2. Step 2: Convert to fraction form
    21,350/32,034 = 32,034/x
  3. Step 3: Cross multiply
    21,350x = 32,034 × 32,034
  4. Step 4: Simplify right side
    21,350x = 1,026,177,156
  5. Step 5: Solve for x
    x = 1,026,177,156/21,350
  6. Step 6: Final answer
    x = 48,064.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.