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Finding the Third Proportional to 21,894 and 32,073

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Solution

The third proportional to 21,894 and 32,073 is: 46,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894 : 32,073 = 32,073 : x
  2. Step 2: Convert to fraction form
    21,894/32,073 = 32,073/x
  3. Step 3: Cross multiply
    21,894x = 32,073 × 32,073
  4. Step 4: Simplify right side
    21,894x = 1,028,677,329
  5. Step 5: Solve for x
    x = 1,028,677,329/21,894
  6. Step 6: Final answer
    x = 46,984.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.