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Finding the Third Proportional to 11,031.75 and 21,506.63

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Solution

The third proportional to 11,031.75 and 21,506.63 is: 41,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,031.75 : 21,506.63 = 21,506.63 : x
  2. Step 2: Convert to fraction form
    11,031.75/21,506.63 = 21,506.63/x
  3. Step 3: Cross multiply
    11,031.75x = 21,506.63 × 21,506.63
  4. Step 4: Simplify right side
    11,031.75x = 462,534,918.89
  5. Step 5: Solve for x
    x = 462,534,918.89/11,031.75
  6. Step 6: Final answer
    x = 41,927.61

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.