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Finding the Third Proportional to 21,000 and 42,960

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Solution

The third proportional to 21,000 and 42,960 is: 87,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 42,960 = 42,960 : x
  2. Step 2: Convert to fraction form
    21,000/42,960 = 42,960/x
  3. Step 3: Cross multiply
    21,000x = 42,960 × 42,960
  4. Step 4: Simplify right side
    21,000x = 1,845,561,600
  5. Step 5: Solve for x
    x = 1,845,561,600/21,000
  6. Step 6: Final answer
    x = 87,883.89

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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.