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Finding the Third Proportional to 20,914 and 45,032

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Solution

The third proportional to 20,914 and 45,032 is: 96,962.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914 : 45,032 = 45,032 : x
  2. Step 2: Convert to fraction form
    20,914/45,032 = 45,032/x
  3. Step 3: Cross multiply
    20,914x = 45,032 × 45,032
  4. Step 4: Simplify right side
    20,914x = 2,027,881,024
  5. Step 5: Solve for x
    x = 2,027,881,024/20,914
  6. Step 6: Final answer
    x = 96,962.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.