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Finding the Third Proportional to 21,176 and 32,974

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Solution

The third proportional to 21,176 and 32,974 is: 51,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,176 : 32,974 = 32,974 : x
  2. Step 2: Convert to fraction form
    21,176/32,974 = 32,974/x
  3. Step 3: Cross multiply
    21,176x = 32,974 × 32,974
  4. Step 4: Simplify right side
    21,176x = 1,087,284,676
  5. Step 5: Solve for x
    x = 1,087,284,676/21,176
  6. Step 6: Final answer
    x = 51,345.14

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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.