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Finding the Third Proportional to 21,097 and 45,531

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Solution

The third proportional to 21,097 and 45,531 is: 98,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097 : 45,531 = 45,531 : x
  2. Step 2: Convert to fraction form
    21,097/45,531 = 45,531/x
  3. Step 3: Cross multiply
    21,097x = 45,531 × 45,531
  4. Step 4: Simplify right side
    21,097x = 2,073,071,961
  5. Step 5: Solve for x
    x = 2,073,071,961/21,097
  6. Step 6: Final answer
    x = 98,263.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.