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Finding the Third Proportional to 22,431.94 and 47,719.13

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Solution

The third proportional to 22,431.94 and 47,719.13 is: 101,512.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,431.94 : 47,719.13 = 47,719.13 : x
  2. Step 2: Convert to fraction form
    22,431.94/47,719.13 = 47,719.13/x
  3. Step 3: Cross multiply
    22,431.94x = 47,719.13 × 47,719.13
  4. Step 4: Simplify right side
    22,431.94x = 2,277,114,890.77
  5. Step 5: Solve for x
    x = 2,277,114,890.77/22,431.94
  6. Step 6: Final answer
    x = 101,512.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.