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Finding the Third Proportional to 21,016 and 45,532

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Solution

The third proportional to 21,016 and 45,532 is: 98,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,016 : 45,532 = 45,532 : x
  2. Step 2: Convert to fraction form
    21,016/45,532 = 45,532/x
  3. Step 3: Cross multiply
    21,016x = 45,532 × 45,532
  4. Step 4: Simplify right side
    21,016x = 2,073,163,024
  5. Step 5: Solve for x
    x = 2,073,163,024/21,016
  6. Step 6: Final answer
    x = 98,646.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.