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Finding the Third Proportional to 20,719.13 and 45,233.44

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Solution

The third proportional to 20,719.13 and 45,233.44 is: 98,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719.13 : 45,233.44 = 45,233.44 : x
  2. Step 2: Convert to fraction form
    20,719.13/45,233.44 = 45,233.44/x
  3. Step 3: Cross multiply
    20,719.13x = 45,233.44 × 45,233.44
  4. Step 4: Simplify right side
    20,719.13x = 2,046,063,868.07
  5. Step 5: Solve for x
    x = 2,046,063,868.07/20,719.13
  6. Step 6: Final answer
    x = 98,752.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.