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Finding the Third Proportional to 21,324.94 and 46,431.56

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Solution

The third proportional to 21,324.94 and 46,431.56 is: 101,097.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.94 : 46,431.56 = 46,431.56 : x
  2. Step 2: Convert to fraction form
    21,324.94/46,431.56 = 46,431.56/x
  3. Step 3: Cross multiply
    21,324.94x = 46,431.56 × 46,431.56
  4. Step 4: Simplify right side
    21,324.94x = 2,155,889,996.19
  5. Step 5: Solve for x
    x = 2,155,889,996.19/21,324.94
  6. Step 6: Final answer
    x = 101,097.13

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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.