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Finding the Third Proportional to 21,000 and 32,058

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Solution

The third proportional to 21,000 and 32,058 is: 48,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000 : 32,058 = 32,058 : x
  2. Step 2: Convert to fraction form
    21,000/32,058 = 32,058/x
  3. Step 3: Cross multiply
    21,000x = 32,058 × 32,058
  4. Step 4: Simplify right side
    21,000x = 1,027,715,364
  5. Step 5: Solve for x
    x = 1,027,715,364/21,000
  6. Step 6: Final answer
    x = 48,938.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.