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Finding the Third Proportional to 9,911.63 and 21,456.38

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Solution

The third proportional to 9,911.63 and 21,456.38 is: 46,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.63 : 21,456.38 = 21,456.38 : x
  2. Step 2: Convert to fraction form
    9,911.63/21,456.38 = 21,456.38/x
  3. Step 3: Cross multiply
    9,911.63x = 21,456.38 × 21,456.38
  4. Step 4: Simplify right side
    9,911.63x = 460,376,028.14
  5. Step 5: Solve for x
    x = 460,376,028.14/9,911.63
  6. Step 6: Final answer
    x = 46,448.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.