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Finding the Third Proportional to 20,617 and 45,243

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Solution

The third proportional to 20,617 and 45,243 is: 99,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617 : 45,243 = 45,243 : x
  2. Step 2: Convert to fraction form
    20,617/45,243 = 45,243/x
  3. Step 3: Cross multiply
    20,617x = 45,243 × 45,243
  4. Step 4: Simplify right side
    20,617x = 2,046,929,049
  5. Step 5: Solve for x
    x = 2,046,929,049/20,617
  6. Step 6: Final answer
    x = 99,283.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.