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Finding the Third Proportional to 21,012 and 42,984

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Solution

The third proportional to 21,012 and 42,984 is: 87,931.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012 : 42,984 = 42,984 : x
  2. Step 2: Convert to fraction form
    21,012/42,984 = 42,984/x
  3. Step 3: Cross multiply
    21,012x = 42,984 × 42,984
  4. Step 4: Simplify right side
    21,012x = 1,847,624,256
  5. Step 5: Solve for x
    x = 1,847,624,256/21,012
  6. Step 6: Final answer
    x = 87,931.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.