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Finding the Third Proportional to 24,719.44 and 51,191.16

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Solution

The third proportional to 24,719.44 and 51,191.16 is: 106,011.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,719.44 : 51,191.16 = 51,191.16 : x
  2. Step 2: Convert to fraction form
    24,719.44/51,191.16 = 51,191.16/x
  3. Step 3: Cross multiply
    24,719.44x = 51,191.16 × 51,191.16
  4. Step 4: Simplify right side
    24,719.44x = 2,620,534,478.21
  5. Step 5: Solve for x
    x = 2,620,534,478.21/24,719.44
  6. Step 6: Final answer
    x = 106,011.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.